curriculum vitae prasanna sahoo - university of...
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CURRICULUM VITAE
Prasanna Sahoo
Department of Mathematics Tel: +1 (502) 852-2731University of Louisville Fax: +1 (502) 852-7132Louisville, KY 40292 USA E-mail: [email protected]
1 Educational Qualifications
Year University Department Degree1986 University of Waterloo (Canada) Applied Mathematics Ph.D.1979 University of Regina (Canada) Mathematics M.Sc.1977 Jawaharlal Nehru University (India) Population Studies M.P.S.1975 University of Delhi (India) Mathematics M.Sc.
2 Employment History
Institution Years of Service Title of PositionUniversity of Louisville July 1998-Present Associate in Electrical Engg.University of Louisville July 1997-Present Professor of MathematicsUniversity of Louisville July 1993-June 1997 Associate ProfessorUniversity of Louisville July 1988-June 1993 Assistant ProfessorUniversity of Louisville July 1987-June 1988 Visiting Assistant Professor
3 Research Interests
• Functional Equations on Abstract Structures• Stability of Functional Equations on Nonabelian Groups• Mean Value Theorems and Functional Equations• Characterization of Information Measures• Nonlinear Pricing Theory in Economics• Image Segmentation using Information Theory and PDE
1
4 Honors Received
• Hind Rattan Award, NRI Welfare Society of India, New Delhi, 2015.• Marek Kuczma Best Paper Award, Silesian University, Poland, 2003.• College of Arts and Sciences Outstanding Service Award, 2000.• Outstanding Scholarship, Research and Creative Award, A&S, 1998.• Best Paper Award in Economics, Kentucky Economics Association, 1997.• Young Investigator Award, University of Louisville, 1990.• Fejer Award in Mathematics, University of Waterloo, 1981.• Saskatchewan Summer Scholarship, University of Regina, Canada, 1978.• National Scholarship, Ministry of Education, New Delhi, India, 1973-75.
5 Biography Listed in
• Who’s Who in the South and Southwest (USA)
• Who’s Who in Science and Engineering (USA)
• Who’s Who in American Education (USA)
• Who’s Who of Emerging Leaders in America (USA)
• American Men and Women of Science (USA)
• International Directory of Distinguished Leadership (USA)
• Dictionary of International Biography (United Kingdom)
• Who Will be Who in the 21st Century (United Kingdom)
6 Research cited in Books
[1] J. Aczel and J. Dhombres, Functional Equations in Several Variables. Cam-
bridge University Press, Cambridge 1989.
[2] H. Niemann, Pattern Analysis and Understanding. Springer-Verlag, 1989.
[3] E. Castilo and M.R. Ruiz-Cobo, Functional Equations and Modelling in Science
and Engineering. MDI, New York 1992.
[4] R. Gonzales and R.E. Woods, Digital Image Processing. Academic Press, San
Diego 1992.
[5] H.M. Haralick and L. Sapiro, Computer and Robert Visions. Addison Wesley,
Redwood City 1992.
2
[6] R.B. Wilson, Nonlinear Pricing, Oxford University Press, Oxford, 1992.
[7] J.C. Russ, Image Processing Handbook. CRC Press, Boca Raton 1995.
[8] G.X. Ritter and J.N. Wilson, Handbook of Computer Vision Algorithms in
Image Algebra. CRC Press, Boca Raton 1996.
[9] J.R. Parker, Algorithms and Image Processing and Computer Vision. John
Wiley & Sons Inc, 1997.
[10] S. Ablameyko, An Introduction to Interpretation of Graphic Images. SPIE Press
Press, 1997.
[11] E.R. Davies, Machine Vision: Theory, Algorithms, Practicalities. Academic
Press, San Diego, 1997.
[12] S. Mori, H. Nishida and H. Yamada, Optical Character Recognition. John Wiley
& Sons, New York, 1999.
[13] M. R. Baye, Managerial Economics, McGraw Hill, New York 2000.
vskip 1mm
[14] E. R. Davies, Image Processing for the Food Industry. World Scientific Press,
2000.
[15] S. M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathe-
matical Analysis, Hadronic Press, 2001.
[16] S. Czerwik, Functional Equations and Inequalities in several variables, World
Scientific, 2002.
[17] R. L. Alllen and D. W. Mills, Signal Analysis Time, Scale and Structures, John
Wiley and Sons, 2004.
[18] T. Acharya and A. K. Roy, Image Processing: Principles and Applications, John
Wiley and Sons, 2005.
[19] L. Padro, Statistical Inference Based on Divergence Measures, Chapman &
Hall/CRC, Boca Raton, 2006.
[20] M. S. Nixon and A. S. Aguado, Feature Extraction and Image Processing, Aca-
demic Press, 2008.
[21] W. Wu, F. Merchent and K. R. Castleman, Microscope Image Processing, Aca-
demic Press, 2008.
[22] Pl. Kannappan, Functional Equations and Inequalities with Applications, Springer,
New York, 2009.
3
[23] Y. J. Cho, Th. M. Rassias and R. Saadati, Stability of Functional Equations in
Random Normed Spaces, Springer, Heidelberg, 2013.
[24] L. Szekelyhidi, Functional Equations on Hypergroups, World Scientific Publish-
ers, Singapore, 2013.
[25] H. Stetkaer, Functional Equations on Groups, World Scientific Publishers, Sin-
gapore, 2013.
7 Citation of Publications
• Google Scholar Citations: Number of citations 7420, h-index 23, i10-index 38
• Web of Science Citations: Number of citations 2702
• ResearchGate: Number of citations 3802, Total Impact Points 30.13
8 List of Publications
8.1 Books and Monographs
• B. Ebanks, P. Sahoo and W. Sander, Characterizations of Information Measures,
World Scientific, Singapore, 1998. ISBN 981-02-3006-0
• P.K. Sahoo and T. Riedel, The Mean Value Theorems and Functional Equations,
World Scientific, Singapore, 1998. ISBN 981-02-3544-5
• M. Asyali, O. Demirkaya, and P.K. Sahoo, Image Processing with MATLAB:
Applications in Medicine and Biology. CRC Press, Boca Raton, Florida, USA,
2008. ISBN 978-0-8493-9246-7
• P.K. Sahoo and Pl. Kannappan, Introduction to Functional Equations. CRC
Press, Boca Raton, Florida, USA, 2011. ISBN 978-1-4398411-1-2
4
• P.K. Sahoo, Probability and Mathematical Statistics. (720 typeset pages.) Cur-
rently, a contract for publication is sought from a national publisher. This book
is used for many terms in teaching courses such as Math 561 (Probability The-
ory) and Math 562 (Mathematical Statistics).
8.2 Journal Publications
[1] P.K. Sahoo, On some functional equations connected to sum form information
measures on open domains. Utilitas Math., 23 (1983), 161-175.
[2] P.K. Sahoo, Renyi’s entropy of order α and Shannon random cipher result. J.
Combin. Inform. Syst. Sci., 8 (1983), 263-270.
[3] P.K. Sahoo, On Higashi and Klir’s conjecture on a measure of information close-
ness. Int. J. Gen. Syst., 10 (1984), 1-4.
[4] P.K. Sahoo, Remark on “A characterization of hypodivergence measure”. Cal-
cutta Statistical Assos. Bull., (1984), 8-9.
[5] PL. Kannappan and P.K. Sahoo, On a functional equation connected to sum
form nonadditive information measures on an open domain. C.R. Math. Rep.
Acad. Sci. Canada,7 (1985), 45-50.
[6] PL. Kannappan and P.K. Sahoo, On a functional equation in two variables
connected to sum form information measures on an open domain. Indian J.
Math.,27 (1985), 33-40.
[7] PL. Kannappan and P.K. Sahoo, On a functional equation connected to sum
form nonadditive information measures on an open domain-III. Stochastica, 9
(1985), 111-124.
[8] J.N. Kapur, P.K. Sahoo and A.K.C. Wong, A new method of gray level picture
thresholding using the entropy of the histogram. Computer Vision, Graphics &
Image Processing, 29 (1985), 273-285.
[9] PL. Kannappan and P.K. Sahoo, On a functional equation connected to sum
form nonadditive information measures on an open domain-I. Kybernetika, 22
(1986), 268-275.
[10] PL. Kannappan and P.K. Sahoo, On the general solution of a functional equation
connected to sum form information measures on an open domain-I. Publications
De L’Institut Mathematique, 40 (1986), 57-62.
5
[11] PL. Kannappan and P.K. Sahoo, On the general solution of a functional equation
connected to sum form information measures on an open domain-III. Internat.
J. Math. & Math. Sci., 9 (1986), 545-550.
[12] PL. Kannappan and P.K. Sahoo, On the general solution of a functional equation
connected to sum form information measures on an open domain-IV. Utilitas
Math., 30 (1986), 191-197.
[13] P.K. Sahoo, On a generalization of Shannon’s random cipher result. Kyber-
netika, 22 (1986), 385-392.
[14] PL. Kannappan and P.K. Sahoo, On a functional equation connected to sum
form nonadditive information measures on an open domain-II. Glas. Mat., Ser.
III, 22 (42) (1987), 343-351.
[15] PL. Kannappan and P.K. Sahoo, On the general solution of a functional equation
connected to sum form information measures on an open domain-II. Mathemat-
ica (Cluj), 29 (52) (1987), 131-137.
[16] P.K. Sahoo, S. Soltani, A.K.C. Wong and Y.C. Chen, A survey of thresholding
techniques. Computer Vision, Graphics & Image Processing 41 (1988), 233-260.
(MIR Publishers translated this article into Russian and published it in 1990
in a collection under editorship of Professor O.B. Lupanov, entitled Cybernetic
Collection N27.)
[17] P.K. Sahoo and A.K.C. Wong, Upper bound for the generalized Jensen difference
based on entropy functions. Kybernetika, 24 (1988), 241-250.
[18] PL. Kannappan and P.K. Sahoo, On the general solution of a functional equation
connected to sum form information measures on an open domain-V. Acta Math.
Univ. Commen (Czechoslovakia), 54/55 (1988), 89-102.
[19] PL. Kannappan and P.K. Sahoo, Weighted entropy of degree β on open domain.
Proc of the Ramanujan Centennial Inter. Conference, RMS Publication No 1,
(1988), 119-125.
[20] P.K. Sahoo and A.K.C. Wong, A gray level threshold selection method based
on maximum entropy principle. IEEE Trans. Man, Sys. & Cybern.,19 (1989),
866-871.
[21] PL. Kannappan and P.K. Sahoo, On a generalization of Shannon functional
inequality. J. Math. Anal. Appl., 140 (1989), 341 - 350.
6
[22] J.K. Chung, PL. Kannappan, C.T. Ng and P.K. Sahoo, Measures of distance
between probability distributions. J. Math. Anal. Appl., 138 (1989), 280-292.
[23] P.K. Sahoo and W. Sander, Sum form information measures on open domain.
Radovi Mathematicki, 5(2) (1989), 261-270.
[24] PL. Kannappan and P.K. Sahoo, Representation of sum form information mea-
sures with additivity of type (α, β) on open domain. In Computing and Infor-
mation, R. Janicki and W.W. Kockodaj (editors), Elsevier Science Publishers
B.V. (North Holland), (1989), 243-253.
[25] B. Ebanks, P.K. Sahoo and W. Sander, Determination of measurable sum
form information measures satisfying (2,2)-additivity of degree (α, β). Radovi
Matematicki, 6 (1990), 77-96.
[26] P.K. Sahoo, Circularly symmetric separable functions are Gaussian. Applied
Mathematics Letters, 3 (1990), 111-113.
[27] PL. Kannappan and P.K. Sahoo, Representation of sum form information mea-
sures with weighted additivity of type (α, β) on open domain. Jour. Math. Phy.
Sci., 24, (1990), 89-99.
[28] B. Nahata, K. Ostaszewski and P.K. Sahoo, Direction of price changes in third-
degree price discrimination. American Economic Review, 80 (1990), 1254-1258.
[29] B.R. Ebanks, P.K. Sahoo and W. Sander, General solution of two functional
equations concerning measures of information. Resultate der Mathematik, 18
(1990), 10-17.
[30] PL. Kannappan and P.K. Sahoo, Parametrically additive sum form weighted
information measures. Advances in Computing and Information, S.G. Akl, F.
Fiala and W. Koczkodaj (eds), Canadian Scholars’ Press Inc., (1990), 26-31.
[31] PL. Kannappan and P.K. Sahoo, Parametrically additive sum form information
measures. In Constatine Caratheodory: An International Tribute, T.M. Rassias
(ed), World Scientific Publishers, Vol. I (1991), 574-580.
[32] PL. Kannappan and P.K. Sahoo, Rotation invariant separable functions are
Gaussian. SAIM J. Math. Anal., 23 (1992), 1341-1351.
7
[33] B.R. Ebanks, PL. Kannappan and P.K. Sahoo, A common generalization of func-
tional equations characterizing normed and quasi-inner-product spaces. Cana-
dian Mathematics Bulletin, 35 (1992), 321-327.
[34] T.R. Riedel and P.K. Sahoo, Surfaces and volumes of revolution with maple.
The Maple Technical Newsletter, 8 (1992), 45-51.
[35] P.K. Sahoo, A.A. Farag, and Y.P. Yeap, Threshold selection based on histogram
modeling. Proceedings of the 1992 IEEE Conference on Systems, Man and
Cybernetics, Chicago, (1992), 351-356.
[36] B.R. Ebanks, PL. Kannappan and P.K. Sahoo, Cauchy difference that depends
on the product of arguments. Glasnik Mat., 27 (47) (1992), 251-261.
[37] PL. Kannappan and P.K. Sahoo, Kullback-Leibler type distance measures be-
tween probability distributions. Jour. Math. Phy Sci., 5(26) (1992), 443-454.
[38] PL. Kannappan and P.K. Sahoo, On the general solution of a functional equation
connected to sum form information measures on an open domain-VI. Radovi
Matematiki,18 (1992), 231-239.
[39] PL. Kannappan and P.K. Sahoo, Sum form equation of multiplicative type.
Acta Math. Hung., 61 (3-4) (1993), 205-219.
[40] J.K. Chung, B.R. Ebanks and P.K. Sahoo, On a functional equation of Swiatak
on groups. Aequationes Mathematicae, 45 (1993), 246-266.
[41] J.K. Chung and P.K. Sahoo, Characterizations of polynomials with mean value
properties. Applied Mathematics Letter, 6 (1993), 97-100.
[42] PL. Kannappan, P.K. Sahoo and J.K. Chung, On a functional equation associ-
ated with the symmetric divergence measures. Utilitas Mathematica, 44 (1993),
75-83.
[43] R.C. Powers, T. Riedel and P.K. Sahoo, Some models of geometries and a func-
tional equation. Colloquium Mathematicum, 66 (1993), 165-173.
[44] PL. Kannappan and P.K. Sahoo, Cauchy difference - a generalization of Hosszu
equation. Proc. Nat. Acad. Sci. India, 63(A) (1993), 541-550.
[45] J.K. Chung, B.R. Ebanks, C.T. Ng and P.K. Sahoo, On a functional equation
connected with Rao’s quadratic entropy. The Proceedings of the AMS, 120
(1994), 843-848.
[46] PL. Kannappan, P.K. Sahoo and J.K. Chung, An equation associated with the
distance between probability distributions. Annales Mathematical Silesianal. 8
(1994), 39-58.
8
[47] J.K. Chung, B.R. Ebanks, C.T. Ng, P.K. Sahoo and W.B. Zeng, On a functional
equation of Abel. Results in Mathematics, 26 (1994), 241-252.
[48] PL. Kannapan, P.K. Sahoo and M.S. Jacobson, A characterization of low degree
polynomials. Demonstratio Mathematica, 28 (1995), 87-96.
[49] T. Riedel and P.K. Sahoo, On a generalization of a functional equation asso-
ciated with the distance between the probability distributions. Publicationes
Mathematicae Debrecen, 46 (1995), 125-135.
[50] J.K. Chung, B.R. Ebanks, C.T. Ng, P.K. Sahoo and W.B. Zeng, On a general-
ized rectangular and rhombic functional equations. Publicationes Mathematicae
Debrecen, 46 (1995), 249-270.
[51] J.K. Chung, B.R. Ebanks, C.T. Ng and P.K. Sahoo, On a quadratic-trigonometric
functional equation and some applications. The Transactions of the AMS, 347
(1995), 1131-1161.
[52] P.K. Sahoo, Three open problems in functional equations. American Mathe-
matical Monthly. 102 (1995), 741-742.
[53] P.K. Sahoo, Determination of all additive sum form information measures of k
positive discrete probability distributions. J. Math. Anal. Appl., 194 (1995),
235-249.
[54] PL. Kannappan and P.K. Sahoo, Characterization of polynomials and divided
difference. The Proceedings of the Indian Academy of Sciences, 105 (1995),
287-290.
[55] R. Powers, T. Riedel and P.K. Sahoo, On a model of plane geometry. Elemente
der Mathematik, 51 (1996), 171-175.
[56] P.K. Sahoo, C. Wilkins and J. Yeager, Threshold selection using Renyis entropy.
Pattern Recognition, 30 (1997), 71-84.
[57] J. K. Chung, PL. Kannappan and P.K. Sahoo, On trigonometric functional
equations of rectangular type. Aequationes Mathematicae, 53 (1997), 36-53.
[58] T. Riedel and P.K. Sahoo, A functional equation characterizing low degree poly-
nomials in two variables. Demonstratio Mathematica, 30 (1997), 85-94.
[59] PL. Kannappan, T. Riedel and P.K. Sahoo, On a functional equation associated
with Simpsons rule. Results in Mathematics, 31 (1997), 115-126.
[60] J.K. Chung, B.R. Ebanks, C.T. Ng, P.K. Sahoo and W.B. Zeng, Quadratic
differences that depend on the product of arguments. Results in Mathematics,
31 (1997), 53-74.
9
[61] P.K. Sahoo, D.W. Slaaf and T.A. Albert, Threshold selection using a minimal
histogram entropy difference. Optical Engineering, 37 (1997), 1976-1981.
[62] B.R. Ebanks, PL. Kannappan, P.K. Sahoo and W. Sander, Characterization of
sum form information measures on open domains. Aequationes Mathematicae,
54 (1997), 1-30.
[63] PL. Kannappan and P.K. Sahoo, Sum form distance measures between prob-
ability distributions and functional equations. Intern. J. Math. Stat. Sci., 6
(1997), 91-105.
[64] T. Riedel and P.K. Sahoo, On two functional equations connected with the char-
acterizations of the distance measures. Aequationes Mathematicae, 54 (1997),
242-263.
[65] J.K. Chung, B.R. Ebanks, C.T. Ng and P.K. Sahoo, Erratum to “On a quadratic-
trigonometric functional equation and some applications”. Transactions of AMS,
349 (1997), 4691.
[66] PL. Kannappan and P.K. Sahoo, A property of quadratic polynomials in two
variables. Journal of Mathematics and Physical Sciences, 31 (1997), 65-74.
[67] PL. Kannappan and P.K. Sahoo, On generalizations of the Pompeiu functional
equation. International Journal of Mathematics and Mathematical Sciences, 21
(1998), 117-124.
[68] E. Deeba, E.L. Koh, P.K. Sahoo and S. Xie, On a distributional analog of a sum
form functional equation. Acta Mathematica Hungarica, 78 (1998), 321-332.
[69] J.K. Chung, PL. Kannappan and P.K. Sahoo, On second difference in product
form. Aequationes Mathematicae, 55 (1998), 44-60.
[70] PL. Kannappan, T. Riedel and P.K. Sahoo, On a generalization of a functional
equation associated with Simpsons rule. Prace Matematyczne, 196 (1998), 85-
101.
[71] J.K. Chung, PL. Kannappan and P.K. Sahoo, Corrigendum to “On trigonomet-
ric functional equations of rectangular type”. Aequationes Mathematicae, 56
(1998), 199-200.
[72] E. Deeba, E.L. Koh, P.K. Sahoo and S. Xie, On a class of functional equations
in distributions. Journal of Mathematical Analysis & Applications, 223 (1998),
334-346.
[73] R.C. Powers, T. Riedel and P.K. Sahoo, Limit properties of differential mean
values. Journal of Mathematical Analysis and Applications, 227 (1998), 216-226.
10
[74] B. Nahata, K. Ostaszewski and P.K. Sahoo, Buffet Pricing, Journal of Business,
72 (1999), 215-228.
[75] P.K. Sahoo, On a functional equation characterizing stochastic distance. The
Bulletin of Korean Math. Soc. 36 (1999), 287-303.
[76] S. M. Jung and P.K. Sahoo, Hyers-Ulam-Rassias stability of an equation of
Davison. Journal Mathematical Analysis & Applications, 238 (1999), 297-304.
[77] R. Davitt, R.C. Powers, T. Riedel and P.K. Sahoo, Flett mean value theorem
for holomorphic functions. Mathematics Magazine, 72 (1999), 304-307.
[78] P.K. Sahoo and T. Santiwipanont, Some informational properties of the Dirichlet
distribution. Journal of Combinatorics, Information & Systems Sciences, 24
(1999), 159-168.
[79] S. M. Jung and P.K. Sahoo, On the Hyers-Ulam stability of a functional equation
of Davison, Kyungpook Mathematical Journal, 40 (2000), 87-92.
[80] P.K. Sahoo, On generalized Shannon functional inequality and its applications.
Survey on Classical Inequalities, 517 (2000), 203-224
[81] S. M. Jung and P.K. Sahoo, On stability of a mean value type functional equa-
tion. Demonstratio Mathematica, 33 (2000), 793-796.
[82] T. Riedel, M. Sablik and P.K. Sahoo, On a functional equation in Actuarial
Mathematics. Journal of Mathematical Analysis & Applications, 253 (2001),
16-34.
[83] J.K. Chung, S. M. Jung and P.K. Sahoo, On general solution and stability of a
functional equation on group. Journal of the Korean Mathematics Society, 38
(2001), 37-47.
[84] S. M. Jung and P.K. Sahoo, Hyers-Ulam stability of the quadratic equation of
Pexider type. Journal of Korean Mathematical Society, 38 (2001), 645–656.
[85] R.C. Powers and P.K. Sahoo, Triangle congruence and Moulton plane. Elemente
der Mathematik, 56 (2001), 95-101.
[86] S. M. Jung and P.K. Sahoo, A functional equation characterizing cubic polyno-
mials and its stability. International Journal of Mathematics and Mathematical
Sciences, 27 (2001), 301-308.
[87] P.K. Sahoo and L. Szekelyhidi, On a functional equation related to digital fil-
tering. Aequationes Mathematicae, 62 (2001), 280-285.
[88] M. Das, T. Riedel and P.K. Sahoo Flett’s mean value theorem for approximately
differentiable functions. Radovi Matematicki, 10 (2001), 157-164.
11
[89] R.C. Powers, T. Riedel and P.K. Sahoo, Flett’s mean value theorem on topo-
logical vector spaces. Internat. Jour. Math. Math. Sci., 27 (2001), 689-694.
[90] P.K. Sahoo and L. Szekelyhidi, A functional equation on Zn ⊕ Zn. Acta Math-
ematica Hungarica, 94 (1-2) (2002), 93-98.
[91] Soon-Mo Jung and P.K. Sahoo, Stability of a functional equation for square root
spirals. Applied Mathematics Letters, 15 (2002), 435-438.
[92] V. Faiziev and P.K. Sahoo, Pseudocharacters and the problem of expressibility
for some groups. Journal of Algebra, 250 (2002), 603-637.
[93] S. M. Jung and P.K. Sahoo, On the stability of the Pompeiu functional equation.
Mathematical Inequalities and Applications, 5 (2002), 257-261.
[94] V. Faiziev, Th. M. Rassias and P.K. Sahoo, The space of (ψ, γ)-additive map-
pings on semigroups. Transactions of the AMS, 354 (2002), 4455-4472.
[95] Soon-Mo Jung and P.K. Sahoo, Hyers-Ulam stability of a generalized Hosszu
functional equation. Glasnik Mat., 37 (2002), 283-292.
[96] J.K. Chung and P.K. Sahoo, General solution of some functional equations re-
lated to the determinant of symmetric matrices. Demonstratio Mathematica,
35 (2002), 539-544.
[97] S. M. Jung and P.K. Sahoo, Stability of a functional equation of Drygas. Ae-
quationes Mathematicae, 64 (2002), 263-273.
[98] M. Das, T. Riedel and P.K. Sahoo, Hyers-Ulam stability of Flett’s points. Ap-
plied Mathematics Letters, 16 (2003), 269-271.
[99] PL. Kannappan and P.K. Sahoo, On three functional equations related to the
Bose-Einstein entropy. Entropy Measures, Maximum Entropy Principle and
Emerging Applications, 119 (2003), 267-285.
[100] P.K. Sahoo, Hyers-Ulam stability of an Abel functional equation. In Stability
of Functional Equations of Ulam-Hyers-Rassias Type. Stefan Czerwik (Edited)
(2003), 143-149.
[101] P.K. Sahoo, On a functional equation connected with a property of complex
numbers. Journal of Interdisciplinary Mathematics, 6 (2003), 231-238.
[102] P.K. Sahoo and L. Szekelyhidi, On the general solution of a functional equation
on Z⊕ Z. Archives of Mathematics, 81 (2003), 233-239.
[103] V. Faiziev and P.K. Sahoo, On the space of pseudojensen functions on groups.
St. Peterburg Journal of Math., 14 (2003), 1043-1065.
12
[104] J.K. Chung and P.K. Sahoo, On the general solution of a quartic functional
equation. Bull. Korean Math. Soc., 40 (2003), 565-576.
[105] Soon-Mo Jung and P.K. Sahoo, Stability of a functional equation that arises
in the theory of conditionally specified distributions. Kyungpook Math. J. 44
(2004), 111-116.
[106] P.K. Sahoo, On a functional equation characterizing polynomials of degree three.
Bull. Inst. Math. Academia Sinica. 32 (2004), 35-44.
[107] P.K. Sahoo and G. Arora, A thresholding method based on two-dimensional
Renyi’s entropy, Pattern Recogntion, 37 (2004), 1149-1161.
[108] J.K. Chung, P.K. Sahoo and L. Szekelyhidi, On quadratic differences that de-
pend on the product of arguments–Revisited. Aequationes Mathematicae, 67
(2004), 214-224.
[109] S.M. Jung and P.K. Sahoo, Superstability of the generalized orthogonal equation
on restricted domains. The Proceedings of the Indian Academy of Sciences
(Mathematical Sciences), 114 (2004), 253-267.
[110] B. Nahata, K. Ostaszewski and P.K. Sahoo, Rising health care expenditures: A
demand side analysis. The Journal of Insurance Issues, 28 (2005), 88-102.
[111] V. Faiziev and P.K. Sahoo, Remark on the second bounded cohomology of amal-
gamated product of groups. Sarajevo J. Math., 1 (2005), 27-48.
[112] T. Riedel and P.K. Sahoo, Characterizations of Stolarsky mean. Aequationes
Mathematicae, 70 (2005), 51-62.
[113] V. Faiziev and P.K. Sahoo, On the stability of a Jensen type functional equation
on groups. Bull. Korean Math. Soc., 42 (2005), 759-778.
[114] P.K. Sahoo, A generalized cubic functional equation. Bulletin of Academia
Sinica (English Series), 21 (2005), 1159-1166.
[115] P.K. Sahoo, Solved and Unsolved Problems, Problem 2 and Solution to Problem
5, Newsletter of the European Mathematical Society, 58 (2005), 43-44.
[116] P.K. Sahoo and G. Arora, Image thresholding using two-dimensional Tsallis-
Havrda-Charvat entropy. Pattern Recognition Letters, 27 (2006), 520-528.
[117] B. Nahata, K. Ostaszewski and P.K. Sahoo, Rising health care expenditures: A
demand side analysis. The ICFAI Journal of Risk & Insurance, 3 (2006), 53-64.
13
[118] V. Faiziev and P.K. Sahoo, On the space of (ψ, γ)–pseudojensen mappings on
groups. Journal of Nonlinear Functional Analysis and Applications, 11 (2006),
759-791.
[119] S. M. Jung and P.K. Sahoo, Hyers-Ulam-Rassias stability of a functional equa-
tion of Davison in rings. Nonlinear Functional Analysis and Applications, 11
(2006), 891-896.
[120] V. Faiziev and P.K. Sahoo, On the stability of Jensen’s functional equation on
groups. Proceedings of Indian Math Soc., 117 (2007), 31-48.
[121] V. Faiziev and P.K. Sahoo, Stability of Drygas functional equation on T (3,R).
Internat. J. Applied Mathematics & Statistics, 7 (2007), 70-81.
[122] V. Faiziev and P.K. Sahoo, On Drygas functional equation on groups. Internat.
J. Applied Mathematics & Statistics, 7 (2007), 59-69.
[123] K. B. Houston and P.K. Sahoo, On a functional equation related to determinant
of symmetric two-by-two matrices. Sarajevo J. Mathematics, 3 (2007), 61-71.
[124] P. K. Sahoo, On a functional equation associated with the trapezoidal rule. Bul-
letin of the Institute of Mathematics, Academia Sinica (New Series), 2 (2007),
67-82.
[125] K. Nikodem, T. Riedel and P. K. Sahoo, The stability problem of the Hermite-
Hadamard inequality. Mathematical Inequalities and Applications, 10 (2007),
359-363.
[126] P.K. Sahoo, Some results related to the integral mean value theorem. Inter. J.
Math. Educ. Sci. & Technol., 38 (2007), 818-822.
[127] V. Faiziev and P. K. Sahoo, On the stability of Drygas functional equation on
groups. Banach J. Mathematical Analysis, 1 (2007), 43 - 55.
[128] N. El-Zehiry, S. Xu, P. K. Sahoo and A. Elmagraby, Graph cut optimization for
the Mumford-Shah model. Proceedings of the IASTED (2007), 182-187.
[129] M. S. Moslehian, F. Rahbarnia and P. K. Sahoo Approximate double centralizers
are exact double centralizers. Bol. Soc. Mat. Mexicana (3) 13 (2007), 111-122.
[130] P.K. Sahoo, Solved and Unsolved Problems, Solution to Problem 2, Newsletter
of the European Mathematical Society, 63 (2007), 40-41.
[131] V. Faiziev and P. K. Sahoo, On the stability of the quadratic equation on groups.
Bull. Belgian Math. Soc. Simon Stevin 15 (2008), 135-151.
14
[132] K. B. Houston and P. K. Sahoo, On two functional equations and their solutions.
Applied Mathematics Letters, 21 (2008), 974-977.
[133] V. Faiziev and P. K. Sahoo, On (ψ, γ)-stability of a quadratic functional equation
on groups. Tamsui Oxford Journal of Mathematical Sciences. 24 (4) (2008),
311-337.
[134] P. K. Sahoo, On a functional equation associated with the trapezoidal rule - II.
Bulletin of the Institute of Mathematics Academia Sinica (New Series), 4 (1)
(2009), 9-23.
[135] V. Faiziev and P. K. Sahoo, On (ψ, γ)-stability of a Cauchy equation on some
noncommutative groups. Publicationes Mathematicae Debreceen, 75 (2009),
67-83.
[136] P.K. Sahoo, On the Ulam-Hyers stability of a Sincov type functional equation.
Journal of Informatics and Mathematical Sciences, 1 (2) (2009), 81-90.
[137] P.K. Sahoo, Solved and Unsolved Problems, Problems 53 and 57, Newsletter of
the European Mathematical Society, 73 (2009), 50-51.
[138] S. M. Jung, M. S. Moslehian and P. K. Sahoo, Stability of generalized Jensen
equation on restricted domains. Journal of Mathematical Inequalities, 4 (2010),
191-206.
[139] G. H. Kim and P. K. Sahoo, Stability of a functional equation related to distance
measures - II. Annals of Functional Analysis, 1 (2010), 26–35.
[140] P.K. Sahoo, Solved and Unsolved Problems, Problem 61 and Solution to Problem
53, Newsletter of the European Mathematical Society, 75 (2010), 56-59.
[141] P.K. Sahoo, Solved and Unsolved Problems, Solution to Problems 61, Newsletter
of the European Mathematical Society, 77 (2010), 62-63.
[142] E. A. Chavez and P.K. Sahoo, On a functional equation arising from number
theory. Applied Mathematics Letters, 24 (2011), 344-347.
[143] G. H. Kim and P.K. Sahoo, Stability of a functional equation related to distance
measures - I. Applied Mathematics Letters, 24 (2011), 843-849.
[144] N. El-Zehiry, P.K. Sahoo and A. Elmagraby, Combinatorial optimiztaion of the
piecewise constant Mumford-Shah functional with application to scalar/vector
valued and volumetric image segmentation. Image and Vision Computing, 29
(2011), 365-381.
15
[145] P. K. Sahoo, Quasi-mean value theorems for symmetrically differentiable func-
tions. Tamsui Oxford Journal of Mathematical Sciences, 27 (3) (2011), 279-301.
[146] P.K. Sahoo, On a Sincov type functional equation. In Functional equations in
Mathematical Analysis, Th.M. Rassias and J. Brzdek (eds.), Springer, 2012, pp.
697-708.
[147] E. A. Chavez and P. K. Sahoo, Jensen and quadratic functional equations
on semigroups. Nonlinear Analysis: Stability, Aprroximation, and Inequalities
Pando Georgiev, Panos M. Pardalos, Hari M. Srivastava (eds.), Springer, (2012),
127-145.
[148] P.K. Sahoo, Solved and Unsolved Problems, Problems 85 and 86 and Solution
to Problems 85 and 86, Newsletter of the European Mathematical Society, 83
(2012), 59-61.
[149] V. Faiziev and P. K. Sahoo, On a problem of Z. Moszner, Journal of Informatics
and Mathematical Sciences, 4 (2012), 175-177.
[150] V. Faiziev and P.K. Sahoo, Stability of a functional equation of Whitehead on
semigroups. Annals of Functional Analysis, 3 (2012), 32-57.
[151] V. Faiziev, R. C. Powers and P. K. Sahoo, Almost all triangles with a distin-
guished acute angle satisfy a stronger triangle inequality, College Mathematics
Journal, 44 (2013), 24-31.
[152] V. Faiziev, R. C. Powers and P.K. Sahoo, An alternative Cauchy functional
equation on a semigroup. Aequationes Mathematicae, 85 (2013), 131-163.
[153] P.K. Sahoo, Solved and Unsolved Problems, Problems 109, 113 and 114, Newslet-
ter of the European Mathematical Society, 87 (2013), 56.
[154] V. Faiziev and P.K. Sahoo, Solution of Whitehead equation on groups. Mathe-
matica Bohemica, 138 (2013), 171-180.
[155] V. Faiziev, R. C. Powers and P.K. Sahoo, On (ψ, γ)-stability of Jensen equation
on step-three nilpotent groups. Georgian Math. Jour., 20 (2013), 657-670.
[156] J. Chung and P. K. Sahoo, Stability of a logarithmic functional equation in
distributions on a restricted domain. Abstract and Applied Analyisis, Volume
2013, ID 751680, 9 pages.
[157] J. Chung, H. B. Hunt, A. M. Perkins and P. K. Sahoo, Stability of a simple
Levi-Civita functional equation on non-unital commutative semigroups, Proc.
Indian Acad. Sci. (Math. Sci.) 124 (2014), 365-381.
16
[158] J. Chung and P. K. Sahoo, Wilson’s functional equations with involution on
semigroups, Abstract and Applied Analyisis, (2014), Article ID 463918, 9 pages,
doi: 10.1155/2014/463918
[159] A. M. Perkins and P. K. Sahoo, On two functional equations with involution
on groups related to sine and cosine functions, Aequationes Math. (2014), doi:
10.1007/s00010-014-0309-z
[160] H. B. Hunt and P. K. Sahoo, On some functional equations on groups associated
with stochastic distance measures, Aequationes Math., Aequationes Math. 89
(2015), 511-528. doi 10.1007/s00010-013-0231-9
[161] J. Chung and P. K. Sahoo, Stability of Wilson’s functional equations with invo-
lutions, Aequationes Math. 89 (2015), 749-763.
[162] Z. Wang and P.K. Sahoo, Nonlinear fuzzy stability of a functional equation
related to the characterization of inner product spaces via fixed point technique,
Filomat 29:5 (2015), 1067-1080, doi 10.2298/FIL1505067W
[163] B. R. Ebanks, T. Riedel and P.K. Sahoo, On the order of a derivation, Aequa-
tiones Math. (2015), doi: 10.1007/s00010-014-0328-9
[164] J. Chung and P. K. Sahoo, Heat kernel method for Levi-Civita functional equa-
tion in distributions and hyperfunctions, Bull. Aus. Math. Soc. (2015), doi:
10.1017/s0004972715000349
[165] E. A. Chavez and P.K. Sahoo, On functional equations of multiplicative types,
J. of Math. Anal. and Appl. (2015), doi: 10.1016/j.jmaa.2015.05.060
[166] A. M. Perkins and P. K. Sahoo, A functional equation with involution related
to cosine function, Aequationes Math. (2015), doi: 10.1007/s00010-015-0363-1
[167] H. B. Hunt, T. Riedel and P.K. Sahoo On a functional equation on groups with
an involution related to quadratic polynomials in two variables, Aequationes
Math. (2015).
[168] Z. Wang and P. K. Sahoo, Stability of an ACQ-functional equation in various
matrix normed spaces, J. Nonlinear Sci. Appl. 8 (2015), 64-85.
8.3 Works in Press
[169] G. H. Kim and P. K. Sahoo, Stability of a Pexider type functional equation
related to distance measures.
[170] Z. Wang and P. K. Sahoo, Stability of the Pexiderized quadratic functional
equation in paranormal spaces, Filomat
17
8.4 Works in Submission
[171] V. Faiziev and P.K. Sahoo, On stability of Cauchy equation on solvable groups.
Ukrainian Math. Jour. (Sept. 21, 2012).
[172] M.A. Khan, M.S. Khan and P.K. Sahoo, Contributions to commutativity theo-
rems for rings, Mathematica Bohemica, (Sept 12, 2012).
[173] Y. Chao, B. Nahata and P. K. Sahoo, Class Pricing: A demand side analysis,
Marketing Letters, (June 28, 2012)
[174] J. Chung and P. K. Sahoo, Stability of a functional equation arising from Proth
identity, Indian Jour. Pure & Appl. Math., (May 28, 2013).
[175] H. B. Hunt and P. K. Sahoo, On a nonlinear functional equation on groups
associated with the characterization of stochastic distance measures, Canadian
Mathematical Bulletin (July 30, 2014).
[176] M.A. Khan, M.S. Khan and P.K. Sahoo, Contributions to commutativity theo-
rems for near-rings, Bull. Inst. Math. Academia Sinica (January 18, 2014).
[177] Z. Wang, P.K. Sahoo and Yong-Guo Shi, Generalized forms of Swiatak’s func-
tional equations with involution, Bulletin of the Korean Mathematical Society,
(Oct 23, 2013)
[178] Z. Wang and P.K. Sahoo, Approximation of the mixed additive and cubic func-
tional equation in paranormed spaces, Analele Stiintifice ale Universitatii Ovid-
ius Constanta-Seria Mathematica, (Jan 09, 2014)
[179] A. Najati and P. K. Sahoo, On some functional equations of Davison type.
Journal of Interdisciplinary Math. (Mar 04, 2014)
[180] A. Najati and P. K. Sahoo, On two pexiderized functional equations of Davison
type. Publications de L’Institut Mathematique (Beograd) (Mar 04, 2014)
[181] Z. Wang and P. K. Sahoo, Stability of the generalized quadratic and quartic
type functional equation in non-Archimedean fuzzy normed spaces, Journal of
Mathematical Physics, Analysis, Geometry, (April 8, 2014).
[182] J . Chung, T. Riedel and P. K. Sahoo, Stability of functional equations arising
from number theory and determinant of matrices, Indagationes Mathematicae
(May 02, 2014).
[183] Z. Wang and P. K. Sahoo, Quintic functional equation in matrix paranormed
spaces. Applied Mathematics and Computation (May 12, 2014).
[184] Z. Wang and P. K. Sahoo, On the stability of the quadratic set-valued functional
equations, Advances in Applied Mathematics (June 28, 2014)
18
[185] M.S.S. Khan, A. Kumar, B. Xie and P. K. Sahoo, Network tomography appli-
cation in mobile ad-hoc network using stitching algorithm, Journal of Network
and Computer Applications (July 30, 2014).
[186] P.K. Sahoo, A functional equation with restricted argument related to cosine
function, TOJIMS (August 4, 2014).
8.5 Journal Articles in Progress
[187] J. Chung and P. K. Sahoo, Stability of a Levi-Civita functional equation in
distributions and hyperfunctions, To be submitted in 2013.
[188] H. Kulosman, A. M. Perkins and P. K. Sahoo, Periodicity of the sine equations
on groups
[189] P. K. Sahoo, On cosine-sine functional equation with an involution on non-unital
commutative semigroups.
[190] P. K. Sahoo and G. Arora, An entropic method for the segmentation of color
images.
8.6 Books and Monographs in Progress
[191] P. K. Sahoo, Functional Equations on Abstract Structures. Approximately 350
pages comprising of six chapters has been completed.
[192] M. Asyali, O. Demirkaya, and P.K. Sahoo, Image Processing with MATLAB:
Applications in Medicine and Biology. CRC Press, Boca Raton, Florida, USA,
2008. ISBN 978-0-8493-9246-7. We are revising this book for its second edition.
Second edition will be ready in 2015.
9 Published Book Reviews
[1] Error-Control Coding for Computer Systems, T.R.N. Rao and E. Fujiwara,
Prentice Hall, 1989. Computing Reviews, No 12, Vol 30, 1989, p. 560.
[2] Error-Correcting Coding Theory, M.Y. Rhee, McGraw-Hill, 1989. Computing
Reviews, No1, Vol 31, 1990, pp. 34-35.
[3] Relative Information: theory and applications, G. Jumarie, Springer-Verlag,
1990. Computing Reviews, No 2, Vol 34, 1993, pp. 98-99.
[4] Elements of Information Theory, T.M. Cover and J.A. Thomas, John Wiley &
Sons, 1991. Computing Reviews, No 8, Vol 34, 1993, p. 401.
19
[5] Basic Concepts in Information Theory and Coding: The adventures of secret
agent 00111, S.W. Golomb, R.E. Peile and R.A. Scholtz, Plenum Press, New
York, 1994. Computing Review. No 4, Vol 36, 1995, pp. 189-190.
[6] Statistical Inference Based on Divergence Measures, L. Padro, Chapman &
Hall/CRC, 2006. Zentralblatt Math., 2007
[7] Information and Complexity in Statistical Modeling, J. Rissanen, Springer, 2007.
Zentralblatt Math., 2008
[8] Information theory. Coding theorems for discrete memoryless systems Cam-
bridge: Cambridge University Press, 2911. Zentralblatt Math. Zbl 1256.94002,
2013.
10 Papers Presented
[1] P.K. Sahoo, On some functional equations connected to sum form information
measures. Ontario Mathematics Meeting, Brook University, Saint Catherine,
Canada, June 1985.
[2] P.K. Sahoo, On some functional equations connected to sum form information
measures. Annual Meeting of the Canadian Mathematical Society, Quebec City,
Canada, July 1985.
[3] B. Forte and P.K. Sahoo, Minimal loss of information and optimal thresholds
for digital images. SIAM Conference on Discrete Mathematics, Clemson, USA,
June 1986.
[4] PL. Kannappan and P.K. Sahoo, On a functional equation connected to sum
form nonadditive information measures on an open domain. Second Interna-
tional Symposium on Probability and Information Theory, McMaster University,
Canada, July 1986.
[5] J.K. Chung, PL. Kannappan, C.T. Ng and P.K. Sahoo, Measures of distance
between probability distributions. Invited talk at the 26th International Sym-
posium on Functional Equations, April 24 - May 2, 1988, Sant Feliu de Guixols,
Catalonia, Spain.
[6] PL. Kannappan and P.K. Sahoo, Representation of sum form information mea-
sures with additivity of type (α, β) on open domain. Annual Meeting of AMS,
Meeting Number 847, January 1989, Pheonix, Arizona, USA.
[7] PL. Kannappan and P.K. Sahoo, Proper scoring rules for probability forecasters.
AMS Meeting Number 850, August 1989, Boulder, Colorado, USA.
20
[8] P. K. Sahoo, Spin glass theory and some NP complete problems, Physics De-
partment, University of Louisville, November 1989, Louisville, Kentucky, USA.
[9] B. Nahata, K. Ostaszewski and P.K. Sahoo, Welfare Under Third-Degree Price
Discrimination, Fourth Congress of European Economic Association, University
of Augsburg, West Germany 1989.
[10] PL. Kannappan and P.K. Sahoo, Sum form functional equation of multiplicative
type. Invited talk at the special session on functional equations and applica-
tions, Annual Meeting of AMS, Meeting Number 854, January 1990, Louisville,
Kentucky, USA.
[11] PL. Kannappan and P.K. Sahoo, Parametrically additive sum form weighted
information measures, International Conference on Computing and Information,
Niagara Falls, Canada, May 23-26, 1990.
[12] B. Nahata, K. Ostaszewski and P.K. Sahoo, Pareto Improvement with a Unit
Tax Under Third-Degree Price Discrimination, Seventeenth Annual Conference
of European Association for Research in Industrial Economics, Catholic Univer-
sity of Portugal, Lisbon, Portugal 1990.
[13] B.R. Ebanks, PL. Kannappan and P.K. Sahoo, Inner product spaces and func-
tional equations, Annual Meeting of AMS, AMS Meeting Number 863, January
1991, San Francisco, USA.
[14] B. Nahata, K. Ostaszewski and P.K. Sahoo, Theory of Second-Degree Price
Discrimination, Annual Conference of Far Eastern Econometric Society at Seoul
National University, Korea, June 1991,
[15] B. Nahata, K. Ostaszewski and P.K. Sahoo, Theory of Second-Degree Price Dis-
crimination, Australasian Econometric Society Meetings at University of New
South Wales, Sydney, Australia, July 1991.
[16] PL. Kannappan and P.K. Sahoo, Cauchy difference - A generalization of Hosszu
functional equation, Annual Meeting of AMS, AMS Meeting Number 871, Jan-
uary 1992, Baltimore, USA.
[17] P.K. Sahoo, A.A. Farag and Y.P. Yeap, Threshold selection based on his-
togram modeling, IEEE Conference on Systems, Man and Cybernetics, May
1992, Chicago, USA.
[18] B.R. Ebanks, PL. Kannappan and P.K. Sahoo, Inner product spaces and func-
tional equations. Invited talk at the 30th International Symposium on Func-
tional Equations, September 20-26, 1992, Oberwolfach, Germany.
21
[19] P.K. Sahoo, Image compression with fractal interpolation functions. EMACS,
University of Louisville, October 1992, Louisville, Kentucky, USA.
[20] J.K. Chung, PL. Kannappan and P.K. Sahoo, Functional equations character-
izing distance measures. Invited talk at the 31st International Symposium on
Functional Equations, August 22-28, 1993, Debrecen, Hungary.
[21] R.C. Powers, T. Riedel and P.K. Sahoo, Some models in geometries and a func-
tional equation. Invited talk at the 31st International Symposium on Functional
Equations, August 22-28, 1993, Debrecen, Hungary.
[22] J.K. Chung, B.R. Ebanks, C.T. Ng, P.K. Sahoo and W.B. Zeng, On a func-
tional equation of Abel. Invited talk at the 31st International Symposium on
Functional Equations, August 22-28, 1993, Debrecen, Hungary.
[23] P.K. Sahoo, Means and Their Iterations, invited talk at Department of Mathe-
matical Sciences, University of Cincinnati, USA, May 19, 1994.
[24] PL. Kannappan and P.K. Sahoo, Functional equations in Information Theory.
Invited talk at the Polish-Austrian Seminar on Functional Equations and Iter-
ation Theory, October 26-31, 1994, Cieszyn, Poland.
[25] T. Riedel and P.K. Sahoo, Functional equations associated with the distance
between probability distributions. Invited talk at the 32nd International Sym-
posium on Functional Equations, June 12-19, 1994, Gargnano, Italy.
[26] P.K. Sahoo, Mean Value Theorems and Functional Equations, invited talk at
the Institute of Mathematics, Technical University of Braunschweig, Germany,
Aug 29, 1995.
[27] PL. Kannappan, T. Riedel and P.K. Sahoo, On a generalization of a func-
tional equation associated with Simpsons rule, invited talk at the Fifth Inter-
national Conference on Functional Equations and Inequalities, September 4-9,
1995, Zlokie, Poland.
[28] PL. Kannappan, T. Riedel and P.K. Sahoo, On a functional equation associ-
ated with Simpsons rule, invited talk at the Fifth International Conference on
Functional Equations and Inequalities, September 4-9, 1995, Zlokie, Poland.
[29] P.K. Sahoo, Image binarization and segmentation with Renyis entropy, one-
hour invited talk at the Computer Networks Laboratory, University of Aizu,
Aizu-Wakamatsu City, Japan, October 26,1995.
[30] P.K. Sahoo, Image compression with fractal interpolation functions, one-hour
invited talk at the Computer Networks Laboratory, University of Aizu, Aizu-
Wakamatsu City, Japan, October 27,1995.
22
[31] P.K. Sahoo, Image thresholding with Renyis entropy, one-hour invited talk at the
Department of Information and Computer Sciences, Nara Womens University,
Nara, Japan, October 30, 1995.
[32] P.K. Sahoo, Image compression with fractal interpolation functions, A series of
six one-hour invited talks at the Refresher Course in Mathematics Sponsored
by the University Grant Commission of India, Department of Mathematics,
Sambalpur University, Orissa, India, December 5-8, 1995.
[33] P.K. Sahoo, Iterated Function System and its Application to Image Compres-
sion, one-hour invited talk at the Computer Science Unit of Indian Statistical
Institute, Calcutta, India, November 28,1995.
[34] P.K. Sahoo, Fractal Geometry, A series of three one-hour invited talks at the De-
partment of Mathematics, Sambalpur University, Sambalpur, India, December
20-22, 1995.
[35] B.R. Ebanks, J.K. Chung, C.T. Ng, P.K. Sahoo and W.B. Zeng, Quadratic
differences that depend on the product of arguments. Invited talk at the 34th
International Symposium on Functional Equations, June 10-19, 1996, Wisla-
Jawornik, Poland.
[36] B. Nahata, K. Ostaszewski and P. Sahoo, Buffet Pricing, European meetings of
Econometric society, Toulouse, France, 1997.
[37] P.K. Sahoo, Flett’s mean value theorem for holomorphic functions, Kentucky
MAA section meeting, March 28-29, 1997, Western Kentucky University, Bowl-
ing Green, USA.
[38] B. Nahata, K. Ostaszewski and P. Sahoo, Buffet Pricing, Twenty-fifth meetings
of the European Association for Research in Industrial Economics, University
of Copenhagen, Denmark, 1998.
[39] E.Y. Deeba, E.L. Koh, P.K. Sahoo and S.S. Xie, Distributional analog of a sum
form functional equation. 104th Annual Meeting of AMS, January 7-10, 1998,
Baltimore, USA.
[40] E.Y. Deeba, P.K. Sahoo and S.S. Xie, On a class of functional equations in
distribution. Invited talk at the 931st AMS Meeting, Louisville, Kentucky,
March 20-21, 1998.
[41] P.K. Sahoo, On a functional equation associated with stochastic distance mea-
sures. Invited talk at the 36th International Symposium on Functional Equa-
tions, Brno, Czech Republic, May 24-30, 1998.
23
[42] R.C. Powers, T. Riedel and P.K. Sahoo, On properties of mean values. In-
vited talk at the 36th International Symposium on Functional Equations, Brno,
Czech Republic, May 24-30, 1998.
[43] P.K. Sahoo, On a functional equation associated with stochastic distance mea-
sures, Invited talk at the 37th International Symposium on Functional Equa-
tions, Huntington, USA, May 16-23, 1999.
[44] P.K. Sahoo and L. Szekelyhidi, On a functional equation for a two-variable
function. Invited talk at the Seventh International Conference on Functional
Equations and Inequalities, September 13-17, 1999, Zlokie, Poland.
[45] T. Riedel, M. Sablik and P.K. Sahoo, On a Chini’s functional equation. In-
vited talk at the Seventh International Conference on Functional Equations and
Inequalities, September 12-18, 1999, Zlokie, Poland.
[46] P.K. Sahoo, A variant of the mean value theorem of Cauchy like for the sym-
metrically differentiable functions. Kentucky Section of MAA Annual Meeting,
University of Kentucky, Lexington, Kentucky, USA, April 6–7, 2001.
[47] R.C. Powers and P.K. Sahoo, Triangle congruence and the Moulton Plane. Ken-
tucky Section of MAA Annual Meeting, University of Kentucky, Lexington,
Kentucky, USA, April 6–7, 2001.
[48] J.K. Chung and P.K. Sahoo, General solution of a quartic functional equation.
Invited talk at the 39th International Symposium on Functional Equations, Au-
gust 12-18, 2001, Sandbjerg Estate, Denmark.
[49] T. Riedel, M. Sablik and P.K. Sahoo, On some Chini’s functional equations in
actuarial mathematics. Invited talk at the 39th International Symposium on
Functional Equations, August 12-18, 2001, Sandbjerg Estate, Denmark.
[50] P.K. Sahoo, Sums of squares of integers, invited talk at Department of Mathe-
matics, Xavier University of Louisiana, New Orlean, USA, March 20, 2003.
[51] P.K. Sahoo, On a functional equation characterizing polynomials of degree three.
Kentucky Section of MAA Annual Meeting, Bellarmine University, Louisville,
USA, April 4–7, 2003.
[52] P.K. Sahoo, Image segmentation using two-dimensional entropy of order alpha.
International Conference on Statistics, Combinatorics and Related Areas, Uni-
versity of Southern Maine, Portland, Maine, USA, October 3–5, 2003.
24
[53] P.K. Sahoo, Some results related to the integral mean value theorem. Kentucky-
Indiana-Illinois Trisection of MAA Meeting, University of Evansville, Evansville,
USA, November 5–6, 2004.
[54] P.K. Sahoo, On an equation of Drygas on groups. Invited talk at the 43rd
International Symposium on Functional Equations, May 15-21, 2005, Batz-sur-
Mer, France.
[55] P.K. Sahoo, Microarray Image Processing. Department of Biostatistics, Virginia
Commonwealth University, Richmond, Virginia, USA, May 26, 2005.
[56] P.K. Sahoo, On a functional equation associated with trapezoidal rule. 44th
International Symposium on Functional Equations, May 14-20, 2006, Louisville,
Kentucky, USA.
[57] V. A. Fayziev and P.K. Sahoo, On a class of groups where homomorphisms are
not stable. 44th International Symposium on Functional Equations, May 14-20,
2006, Louisville, Kentucky, USA.
[58] P. K. Sahoo, On a Sincov type functional equation. Contributed talk at the
1020th AMS Meeting, University of Cincinnati, Ohio, USA, Oct. 21-22, 2006.
[59] K. B. Houston and P. K. Sahoo, On two functional equations and their solutions.
Contributed talk at the 1020th AMS Meeting, University of Cincinnati, Ohio,
USA, Oct. 21-22, 2006.
[60] P.K. Sahoo, On a functional equation associated with the trapezoidal rule. Ken-
tucky Section of MAA Meeting, University of Northern Kentucky, USA, March
30–31, 2007.
[61] P. K. Sahoo, Stability of Homomorphisms. Colloquium talk at the Department
of Mathematics. University of Louisville, Louisville, USA, February 06, 2009.
[62] P. K. Sahoo, Interaction between Mathematics and Computer Science. A ninety-
minute invited talk at the workshop on Mathematical Aspects of Computer Sci-
ence, Sambalpur University, Orissa, India, March 14, 2009.
[63] P. K. Sahoo, Mathematical models from Physics in Computer science. A ninety-
minute invited talk at the workshop on Physics Educations, Sambalpur Univer-
sity, Orissa, India, March 14, 2009.
[64] P. K. Sahoo, Graph Cut Optimization for the Piecewise Smooth Mumford-Shah
Functional. A ninety-minute invited talk at the Workshop on Mathematical
Aspects of Computer Science, Sambalpur University, Orissa, India, March 15,
2009.
25
[65] P. K. Sahoo, On a Sincov type functional equation. 47th International Sympo-
sium on Functional Equations, June 14-20, 2009, Gargnano, Italy.
[66] P. K. Sahoo, Stability of homomorphisms. Department of Applied Mathematics,
Technical University of Athens, June 22, 2009, Athens, Greece.
11 Grants Received
[1] Sum form information measures and related functional equations. Graduate
Programs and Research, $1600, October 1988 to July 89.
[2] Sum form information measures and related functional equations. A&S Dean’s
Professional Activity Initiative, College of Arts and Sciences, U. of L., Compen-
sation for two Summer courses and $500 for expenses, July 1, 1989 to August
31, 1989.
[3] Fundamental information measures and related functional equations. Arts and
Sciences Research Committee, University of Louisville, $2135, July 1, 1989 to
June 30, 1990.
[4] Information measures, functional equations and image thresholding. President’s
Research Initiative (PCG), $5070, July 1, 1989 to June 30, 1990.
[5] Sum form information measures and related functional equations. A&S Dean’s
Professional Activity Initiative, Compensation for six hours ’ course release time
during spring semester and $500 for expenses, July 1, 1989 to August 31, 1990.
[6] Some mathematical problems in the characterization of inner product spaces and
theory of price discrimination. Arts and Sciences Research Committee, $1170,
1st July 1990 to 30th June 1991.
[7] Some mathematical problems in the characterization of inner product spaces and
theory of price discrimination. President’s Research Initiative (PRG), $2000,
July 1, 1990 to June 30, 1991.
[8] Demand for telecommunication services, Telecommunication and Research, Uni-
versity of Louisville, Kentucky (with Nahata and Ostaszewski), $12,000.00,
September 1990 to July 1991.
[9] Kullback-Leibler type distance measures and other problems. A&S Dean’s Pro-
fessional Activity Initiative. Compensation for six hours’ course release time
during summer semester and $500 for expenses, July 1, 1990 to Aug 31, 1991.
[10] Kullback-Leibler type distance measures and other problems. Graduate Pro-
grams and Research, $2295, October 1990 to July 1991.
[11] Some Functional Equations in Applied Mathematics. President’s Research Ini-
tiative (PCG), Graduate Programs and Research, $3,000, July 1990 to August
1991.
26
[12] Some Functional Equations in Applied Mathematics. A&S Research Committee,
$1,800, July 1, 1991 to June 30, 1992.
[13] Computer Algebra System in Undergraduate Mathematics Curriculum. College
of Arts and Sciences (with Jacobson and Zeng), $4,000, July 1, 1991 to June 30,
1992.
[14] Image compression with fractal interpolation functions. President’s Research
Initiative (PRG), $750, June 1, 1992 to June 14, 1993.
[15] Two functional equations of Niel Henerik Abel and applications. A&S Research
Committee, $500, July 1, 1992 to June 30, 1993.
[16] Distance measures and some functional equations of Abel. President’s Research
Initiative (PCG), Graduate Programs and Research, $2,589, 1st July 1993 to
13th June 1994.
[17] Functional Equation in Computer Vision, Graduate Research Grant, office of the
Graduate Programs and Research, $2,700, September 1994 to 30th September
1995.
[18] Contingency Type Bivariate Distributions, President Research Initiative (URG),
$3000 July 1, 1995 to June 14, 1996.
[19] Some Functional Equations Connected with the Image Filtering, A&S Research
Committee, $1800, July 1, 1995 to July 1, 1996.
[20] A Study of Image Thresholding With Information Theoretic Criterion Functions,
President Research Initiative (PCG), $3164, January 1, 1996 to December 31,
1996.
[21] Interactive Methods of Teaching Mathematics, Instructional Development Min-
igrant, Provost Office, University of Louisville, $500, Spring 1996.
[22] Image Thresholding with Renyis Entropy, A&S Research Committee, $2000,
July 1, 1996 to July 1, 1997.
[23] Image Compression with Iterated Function Systems and Wavelet Transform,
A&S Research Committee, $500, July 1, 1997 to July 1, 1998.
[24] Thresholding of Images with the Minimal Loss of Information, A&S Research
Committee, $434, July 1, 1998 to July 1, 1999.
[25] Geometry Program, The IAS/Park City Mathematics Institute grant for the
Program for High School Teachers, 1995-1999. $76,000, NSF (with Steven Seif
and Robert Ronau).
[26] Kulback-Leibler type distances for quantifying clutters, A&S Research Commit-
tee, $1985, July 1, 1999 to July 1, 2000.
[27] Stability of the Jensen functional equation on a class of groups, the Intramural
Research Incentive Grant (PCG), $3960, January 1, 2002 to December 31, 2002.
27
[28] Kulback-Leibler type distances for quantifying clutters, the Intramural Research
Incentive Grant (RIG), $3799, January 1, 2002 to December 31, 2002.
[29] Travel grant to attend a workshop and a tutorial for two weeks on population and
statistical genomics at IMS, National University of Singapore, S$4500, March
17, 2002 to March 31, 2002.
[30] Use of pseudocharacters in the stability of functional equations and related top-
ics, the Intramural Research Incentive Grant (PCG), $3910, July 1, 2003 to June
30, 2004.
[31] Drygas functional equation on groups and its stability, the Intramural Research
Incentive Grant (PCG), $4000, June 1, 2005 to May 31, 2006.
[32] On the generalized stability of the Jensen functional equation on groups, the
Intramural Grant for Research and Creative Activities (A&S), $1500, December
1, 2005 to October 31, 2006.
[33] On stability of homomorphisms and the solution of an alternative functional
equation on noncommutative semigroups, the Intramural Research Incentive
Grant (PCG), $3910, January 1, 2010 to December 31, 2010 (with Bob Powers).
[34] The strong triangle inequality in Euclidean and hyperbolic geometry, A&S In-
tramural Research Grant, $1680, April 1, 2010 to June 30, 2011 (with Bob
Powers).
12 Teaching Experience
12.1 Courses Taught at Graduate Level
• Probability Theory (Math 561)
• Advanced Probability Theory (Math 660)
• Mathematical Statistics (Math 562)
• Advanced Mathematical Statistics (Math 662)
• Time Series Analysis (Math 607)
• Applied Statistics (Math 560)
• Abstract Algebra I and II (Math 521 and Math 522)
• Real Analysis I and II (Math 501 and Math 502)
• Complex Analysis (Math 611)
• Functional Equations I and II (Math 605 and Math 606)
• Projective Geometry in Computer Vision (Math 607)
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12.2 Courses Taught at Undergraduate Level
• Elementary Statistics (Math 109)
• Statistical Data Analysis (Math 560)
• College Algebra (Math 102)
• Intermediate Algebra (Math 111)
• Precalculus (Math 190)
• Business Calculus (Math 180)
• Calculus I, II and III (Math 205, Math 206 and Math 301)
• Differential Equations (Math 405)
• Actuarial Review I and II
12.3 Course Materials Developed
• Authored a 700 page textbook on probability theory and mathematical statistics
for our Math 561 and Math 562 courses. This book is regularly used for Math
561 and Math 562 since 1995.
• Created the curriculum for a new course on functional equations at the graduate
level and authored 500 pages of course materials. Currently it is published as a
book titled Introduction to Functional Equations by CRC Press.
• Created the curriculum for a new course on projective geometry and computer
vision at the graduate level and created 900 overheads for this course and dis-
tributed to students.
• During 1995 to 1998, created over 800 overheads slides for Elementary Statistics
for efficient presentation of the course materials. Currently it is converted into
pdf files for other instructors and their students. Since, 2011 is it available to
students through Gray’s book Store.
• Developed several computer labs (some are published) for calculus I, II and II
using Maple.
• Authored a 60 page Minitab handbook for students in elementary statistics
(Math 109).
• Created a 50 page computer lab using Maple for students in abstract algebra
(Math 521).
29
12.4 Participated in Conferences Related to Teaching
[1] Participated at the Seminar and Open Forum on Engineering Education (A one
day workshop on integrating Symbolic Computation into Mathematics Curricu-
lum), Louisville, Kentucky, April 4, 1991.
[2] Participated at the Workshop on Computer Assisted Instructions (a one day
workshop for integrating symbolic computation into the Calculus curriculum
presented by Professor Robert Lopez, Rose Hulman Institute) on Saturday,
October 12, 1991. I also co-organized this workshop with Professors Michael
Jacobson and Wei-bin Zeng.
[3] Participated at the Fourth Annual International Conference on Technology in
Collegiate Mathematics, Portland, Oregon, November 15 to 17, 1991.
[4] Participated on Sessions I to VI of Technology Assisted Instruction Forum or-
ganized by the Office of the University Provost (UofL) between 1990 to 1991.
[5] Participated at the Workshop on Computer Assisted Instructions (a one day
workshop for integrating symbolic computation into the Calculus curriculum
presented by Professor Jeanette Palmiter, Portland State University) on Satur-
day, April 25, 1992. I also co-organized this workshop with Professors Michael
Jacobson and Wei-bin Zeng.
[6] Participated at the Fifth Annual International Conference on Technology in
Collegiate Mathematics, Chicago, Illinois, November 15 to 17, 1992.
[7] Participated at the Joint UofL/UK Faculty Technology Conference held in 17th
February 1993, University of Louisville, Kentucky.
[8] Participated at the Joint Annual Meeting of AMS and MAA and attended many
talks on the use of instructional technology on curriculum reform in mathemat-
ics, 4th January to 7th January 1995, San Francisco, California.
[9] Participated at the 3rd Annual Math/Science Conclave, organized by PRISM-
UG, March 24-25, 1995, Galt House, Louisville, Kentucky.
[10] Participated at a workshop for teaching geometry with Micheal Sera, 30th March
1995, 8:30 am to 3:00 pm, Du Pont Manual High School, Louisville, Kentucky.
[11] Participated in the NSF UFE workshop exploring undergraduate algebra and
geometry with technology, June 3 - 7, 1996, DePauw University, Greencastle,
Indiana.
[12] Participated at the 1996 summer session on Probability Theory, June 23 to July
13, 1996, Institute for Advanced Study, Princeton, New Jersey.
30
[13] Participated at 24th Annual Miami University Conference in Mathematics and
Statistics, September 27 to September 28, 1996, University of Miami, Oxford,
Ohio.
[14] Co-organized a workshop on Geometers Sketchpad (a one day workshop pre-
sented by Professor James King, University of Washington) on Saturday, Oc-
tober 26, 1996 (with Professors Seif and Williams) at Presentation Academy,
Louisville, Kentucky.
[15] Participated at the Joint Annual Meeting of AMS and MAA and attended talks
on the use of instructional technology on curriculum reform in abstract algebra
and statistics, 9th Jan 1997 to 11th Jan 1997, San Diego, California.
[16] Participated at the 1997 summer session on Simplextic Geometry, June 29 to
July 19, 1997, Park City Mathematics Institute, Park City, Utah.
[17] Participated at the 1998 summer session on Lie Algebra and Geometry, July 12
to August 1, 1998, Park City Mathematics Institute, Park City, Utah.
[18] Participated at the Joint Annual Meeting of AMS and MAA and attended talks
on the use of instructional technology on curriculum reform in abstract algebra
and statistics, 13th Jan 1999 to 16th Jan 1999, San Antonio, Texas.
12.5 Thesis Supervised
12.5.1 Master Thesis
[1] Glenna Grider, A study of image compression techniques with an emphasis on
fractal based methods. Spring 1992. Masters’ Thesis.
[2] Letao Wang, On D’Alembert type functional equations on groups. Spring 1993.
Masters’ Thesis.
[3] Carrye Wilkins, Threshold selection with Renyi’s entropy. Fall 1994. Masters’
Thesis.
[4] David Eichenberger, On the solution of a functional equation characterizing
polynomials. Summer 1996. Masters’ Thesis.
[5] David Zimmermann, Some algebraic and analytic properties of the quaternions.
Spring 1999. Masters’ Thesis.
[6] Tippawan Santiwipanont, On beta distributions. Fall 1999. Masters’ Thesis.
[7] Joseph Twagilimana, Mean-variance model in portfolio analysis. Summer 2002.
Masters’ Thesis.
31
[8] Joyee Dutt, Comparative study of buffet pricing and two-part tariff. Fall 2002.
Masters’ Thesis.
[9] Kelly Houston, Characterizations of determinant and permanent of symmetric
matrices, Spring 2007. Honor’s Thesis.
[10] Noha El-Zehiry, Graph cut optimization for the bimodal piecewise smooth Mumford-
Shah functional, Summer 2007. Masters’ Thesis.
[11] Sara Evans, Bayesian Regression Analysis, MA, Summer 2012. Masters’ Thesis.
12.5.2 Doctoral Thesis
[1] Heather Hunt, Several functional equations defined on groups arising from stochas-
tic distance measures, Doctoral Thesis, Summer 2014.
[2] Allison Perkins, Functional equations with involution related to sine and cosine
functions, Doctoral Thesis, Summer 2014.
13 Service (Profession and University)
13.1 Professional Memberships
• American Mathematical Society (AMS)
• Mathematical Association of America (MAA)
• Association of Computing Machinary (ACM)
• IEEE Information Theory Society
• IEEE Computer Society
• IEEE Signal Processing Society
• Sigma Xi
• Pi Mu Epsilon
• Forum for Interdisciplinary Mathematics (Members for life)
13.2 Elected Officer of Professional Society
• General Secretary, Forum for Interdisciplinary Math., India, 2003-05, 2005-07.
13.3 Member of Scientific Committee
• Member of the Scientific Committee of the Conference on Ulam’s Type Stabil-
ity (CUTS) organized by the Department of Mathematics of the Pedagogical
University of Krakow, Poland, June 2-6, 2014.
32
13.4 Editorial Board
• Associate Editor, Banach Jour. Math. Anal. 2007-present.
• Associate Editor, Jour. of Inform. & Math. Sci. 2009-present.
• Associate Editor, Internat. Jour. of Nonlinear Anal. & Appl. 2009-present.
• Associate Editor, Jour. of Nonlinear Anal. & Appl. 2010-present.
• Editorial Board, Algebra, 2012-present.
• Editorial Board, Chinese Journal of Mathematics, 2013-present.
• Editorial Board, Journal of Nonlinear Functional Analysis, 2013-present.
• Editorial Board, Austin Mathematics, 2014-present.
13.5 Refereeing and Reviewing
• American Mathematical Monthly
• Acta Mathematica Sinica
• Acta Mathematica Universitatis Comenianae
• Journal of Bioinformatics
• Journal of Mathematical Social Sciences
• Journal of Combinatorics, Information and System Sciences
• Utilitas Mathematica
• Demonstratio Mathematica
• Publicationes Mathematicae Debrecen
• Proceedings of the Indian Mathematical Society
• Abstract and Applied Analysis
• Applied Mathematics Letters
• Applied Computations and Mathematics
• Annales de lEcole Normale Superieure a Cracovie
• Aequationes Mathematicae
• Indian Journal of Mathematics
• Journal Mathematical Analysis and Applications
• Journal of Applied Mathematics & Stochastic Analysis
• Journal of Difference Equations and Applications
• Journal of the Korean Mathematical Society of Education
33
• Journal of Inequalities and Applications
• Sarajevo Journal of Mathematics
• Communications in Mathematical Analysis
• Journal of Mathematics Statistics
• Soochow Journal of Mathematics
• Tamkang Journal of Mathematics
• International Journal of Biomathematics
• International Journal of Mathematics & Mathematical Sciences
• International Journal of Mathematical Education in Science and Technology
• Discrete and Continuous Dynamical Systems
• Communications in Statistics
• Real Analysis Exchanges
• Banach Journal of Mathematical Analysis
• Bulletin of the Institute of Mathematics, Academia Sinica
• Computer and Mathematics with Applications
• Mathematical Inequalities and Applications
• Nonlinear Analysis TMA
• Mathematical Methods in Applied Mathematics
• International Journal of Tomography and Statistics
• IEEE Transactions on Pattern Analysis and Machine Intelligence
• IEEE Transactions on Image Processing
• IEEE Transactions on Systems, Man, and Cybernetics
• IEEE Transactions on Automation & Engineering
• IEEE Transactions on Neural Networks
• IEE Proceedings - Vision, Image and Signal Processing
• Computer Vision, Graphics, and Image Processing
• Image and Vision Computing Journal
• Pattern Recognition
• Pattern Recognition Letters
• Optical Engineering, Journal of SPIE
• EURASIP Journal on Applied Signal Processing
• Iranian Journal of Electrical and Computer Engineering
34
• International Journal of Information and Coding Theory
• Journal of Informatics and Mathematical Sciences
• Soft Computing
• Journal of Computer Science and Technology
• Selcuk Journal of Applied Mathematics
• Journal of Inequalities and Applications
• Abstract and Applied Analysis
• College Math Journal
• Optic Express
• Entropy
• Mathematical Reviews
• Computing Reviews
• Zentralblatt fur Mathematik
13.6 Graduate Thesis Committee
13.6.1 Doctoral Thesis Committee
• Brian Cooper, Electrical Engineering, Ph.D. Thesis Committee, 1992-1994
• Eric Jansing, Electrical Engineering, Ph.D. Thesis Committee, 1996-1997
• Mohamed Ahmed, Electrical Engineering, Ph.D. Thesis Committee, 1996-1997
• Brad Sleadd, Department of Chemistry, Ph.D. Defense Committee, 1997
• Tesham Gor, Industrial Engineering, Ph.D. Thesis Committee, 1997-1999
• Tom Albert, Electrical Engineering, Ph.D. Thesis Committee, 1998-1999
• Sameh Yamany, Electrical Engineering, Ph.D. Thesis Committee, 1998-1999
• Moumen Ahmed, Electrical Engineering, Ph.D. Thesis Committee, 2000-2001
• M. Sabry Hassouna, Electrical Engineering, Ph.D. Thesis Committee, 2005-2006
• Aly Aallah, Electrical Engineering, Ph.D. Thesis Committee, 2005-2006
• Jun Liu, Electrical Engineering, Ph.D. Thesis Committee, 2006-2007
• Abdelrehim Ahmed, Electrical Engineering, Ph.D. Thesis Committee, 2006-2008
• Asem M. Ali, Electrical Engineering, Ph.D. Thesis Committee, 2007-2008
• Dongquing Cheni, Electrical Engineering, Ph.D. Thesis Committee, 2007-2008
35
• Noha El-Zehiry, Computer Science, Ph.D. Thesis Committee, 2007-2009
• Rodney D’Souza, Entrepreneurship, Ph.D. Thesis Committee, 2007-2009
• Sara Shafael, Electrical Engineering, Ph.D. Thesis Committee, 2009-2011
• Doug Lorenz, Mathematics, Ph.D. Thesis Committee, 2008-2011
• Rebekah Musselwhite, Mathematics, Ph.D. Thesis Committee, 2010-2012
• Rasitha Jayasekare, Mathematics, Ph.D. Thesis Committee, 2012-2013
• Mostafa Abdelrahman, Electrical Eng, Ph.D. Thesis Committee, 2010-2013
• Mohammad Khan, Compter Science, Ph.D. Thesis Committee, 2013-2013
• Aly Abdelrehim, Electrical. Eng., Ph.D. Thesis Committee, 2012-2014
• Ali H. Mahmoud, Electrical Eng, Ph.D. Thesis Committee, 2012-2014
• Lael Smith, Mathematics, Ph.D. Thesis Committee, 2008-present
• James Smirall, Mathematics, Ph.D. Thesis Committee, 2008-present
• Michael Godbey, Mathematics, Ph.D. Thesis Committee, 2009-present
• Lucas Hoots, Mathematics, Ph.D. Thesis Committee, 2013-present
• Chad Money, Mathematics, Ph.D. Thesis Committee, 2013-present
• Eslam Mostafa, Electrical Eng, Ph.D. Thesis Committee, 2013-present
• Ahmed El Barkouky, Electrical Eng, Ph.D. Thesis Committee, 2014-present
• Marwa Tawfik, Electrical Eng, Ph.D. Thesis Committee, 2014-present
• Jacob Berg, Physics, Ph.D. Thesis Committee, 2014-present
13.6.2 Master Thesis Committee
• Bruce Cochran, EMAC, Master Thesis Committee, 1989
• Terry Herzog, Mathematics, Master Oral Examination Committee, 1989
• Ngozi Anyamele, EMAC, Master Thesis Committee, 1990
• Qisu Yu, Mathematics, Master Oral Examination Committee, 1990
• Sanjeeb Nanda, Mathematics, Master Thesis Committee, 1991
• Marianne Pridy, Mathematics, Master Oral Examination Committee, 1992
• Sylvia Brite, Mathematics, Master Oral Examination Committee, 1992
• Yvon Crozet, Chemistry, Master Thesis Committee, 1996
• Wesley Howard, Mathematics, Master Thesis Committee, 1996
• Diana Guidry, Electrical Engineering, Master Thesis Committee, 1999
36
• Peter Leher, Electrical Engineering, Master Thesis Committee, 1999
• Nevin Mohamed, Electrical Engineering, Master Thesis Committee, 1999
• Hazem Hamdan, Mathematics, Master Thesis Committee, 2001
13.7 Departmental Committee
• Search Committee, 1988-89, 1992-93, 1996-97, 2001-02
• Chair, Search Committee, 1999-00, 2000-01, 2011-12
• Computer Facilities Committee, 1989-91
• Ad Hoc Statistic Committee, 1990
• Chair, Personnel Committee, 1990-91, 2010-11
• Personnel Committee, 1989-91, 1998-99, 1991-92, 2008-11
• Undergraduate Advising Coordinator, 1997-00
• Ph.D Committee, 1999-01, 2000-01
• Liason for Kersey Library, 2000-03
• Graduate Studies Committee, 2003-2009
• Graduate Studies Director, 2003-2009
• Bickel and Petty Scholarship Award Committee, 2002-03
• Math 561-Textbook Selection Committee, Dept of Mathematics, 1988-94
• Math 501-Textbook Selection Committee, Dept of Mathematics, 1999-03
• Math 109-Textbook Selection Committee, Dept of Mathematics, 1996-05
• Qualifying Exam Committee, 2009-2014
13.8 A&S College Committee
• Standards and Honors Committee, 1991-92, 1993-94
• Chair, Standards and Honors Committee, 1992-93
• Personnel Committee, 1994-96, 2001-03, 2011-13
• Research Committee, 1995-98
• Curriculum and Standards Committee, 1996-99
• Distinguished Service Committee, 1997-98, 1998-99, 2000, 2011
• Faculty Grievance Committee, 1999-02
• Distinguished Teaching Award Committee, 2004-05, 2005-06
37
13.9 University Committee
• Graduate Council, Graduate School, 1996-97, 1997-99, 2000-03, 2003-07
• Membership Committee, Graduate School, 1996-97, 1997-98
• Curriculum Committee, Graduate School, 1998-99, 2001-02 (Chair), 2002-03
• Nomination Committee, Graduate School, 2003-04, 2004-05 (Chair)
• Outstanding Scholarship, Research, and Creative Activity Committee, 2001-02
• Program Review Committee, Office of the Provost, 2000-03, 2007-09
• IRIG Committee, Office of the VP for Research, 2002-03, 2010-11, 2012-13
• ECE Communication Committee, Department of ECE, 2000-01, 2001-02
• Assistant Chair, Kersey Library User’s Group, 2002-03
• Faculty Senate, University of Louisville, 2003-06, 2006-09, 2011-14
• Planning and Budget Committee, Faculty Senate, 2004-09
• Committee on Committees & Credentials, Faculty Senate, Chair, 2012-14
• Executive Committee, Faculty Senate, 2012-14
• Decanal Review Committee, Graduate School, 2005-2006
• Distinguished Service Award Committee, 2010-11
• Faculty Advisor, Cohn Center for Renewable Energy Research, 2011-present
13.10 External Examiner of Doctoral Dissertation
• Served as the external examiner of Ph.D. Thesis of Vijendra Singh, Mody Insti-
tute of Technology & Science, Rajasthan, India, July 2013.
13.11 Reviwer for Promotion and Tenures Cases
• Served as an external referee to evaluate the research works for the promotion
case of Dr. Ziyad M. Al-Sharawi of the Department of Mathematics and Statis-
tics, Sultan Qaboos University, Muscat, Oman, February 2014.
• Served as an external referee to evaluate the research works for the promotion
case of Dr. Laith Emil Azar of the Department of Mathematics, AL Al-Bayt
University, Mafraq, Hashemite Kingdom of Jordan, April 2009.
• Served as a referee to evaluate the research works for the promotion case of
Dr. Suheil A. Khuri of the American University of the United Arab Emirates,
December 2007.
38
• Served as a referee to evaluate the research works for the promotion case of Dr.
Sishen Sam Xie of the University of Houston-Downtown, October 2002.
13.12 Other Services
[1] Co-organized a workshop on Computer Assisted Instructions (a one day work-
shop for integrating symbolic computation into the Calculus curriculum pre-
sented by Professor Robert Lopez, Rose Hulman Institute) on Saturday, October
12, 1991 (with Professors Michael Jacobson and Wei-bin Zeng).
[2] Co-organized a workshop on Computer Assisted Instructions (a one day work-
shop for integrating symbolic computation into the Calculus curriculum pre-
sented by Professor Jeanette Palmiter, Portland State University) on Saturday,
April 25, 1992 (with Professors Michael Jacobson and Wei-bin Zeng).
[3] Co-organized a workshop on Geometers Sketchpad (a one day workshop pre-
sented by Professor James King, University of Washington) on Saturday, Octo-
ber 26, 1996 (with Professors Steven Seif and Wiley Williams) at Presentation
Academy, Louisville, Kentucky.
[4] Co-organized a Special Session on Functional Equations and Inequalities in 931st
American Mathematical Society Meeting at Louisville, March 20-21, 1998 (with
Professor Thomas Riedel).
[7] Co-organized 44th International Symposium on Functional Equations Meeting
at Louisville, USA, March 14-20, 2006 (with Professor Thomas Riedel).
13.13 Member of Foreign Advisory Board
[1] Since 2010, I am a foreign member of the advisory board of Knowledge Trust,
Bhubaneswar - 751015, Orissa, India. Knowledge Trust has three wings: Temple
City Institute of Technology and Engineering (TITE), Temple City Institute of
Basic Sciences (TIBS), and Millennium Industrial Training Center (MITC).
14 Computer Experience
• TEX, LATEX, Microsoft Word, and Microsoft Power Point
• MAPLE, MATHEMATICA, GAP, R, and MINITAB
• MATLAB with Image Processing, Statistics, DSP, and Wavelet Toolboxes
15 Citizenship
• USA
39
16 Personal Information
• Married to Dr. Sadhna Gupta, RN, and has one son Amit Aaron Sahoo
17 Recent Image
18 References
• Professor Michael Jacobson, Department of Mathematics, University of Col-
orado at Denver, Campus Box 170, P.O. Box 173364, Denver, CO 80217-3364,
USA. e-mail: [email protected]
• Professor Themistocles M. Rassias, Department of Mathematics, National Tech-
nical University of Athens, Zografou Campus, 15780 Athens, Greece. e-mail:
• Professor Maciej Sablik, Institute of Mathematics, Silesian University, Bankowa
14, PL-40-007 Katowice, Poland. e-mail: [email protected]
• Professor Laszlo Szekelyhidi, Mathematical Institute, University of Debrecen,
H-4010 Debrecen, Pf. 12, Hungary. e-mail: [email protected]
• Professor Soon-Mo Jung, Mathematics Section, Hong-Ik University, Chochiwon
339-701 South Korea. e-mail: smjung@wow .hongik.ac.kr
Updated on June 6, 2015
40