Speaker: Tibor K. Pogany, Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Obuda University, Hungary and Faculty of Maritime Studies, University of Rijeka, Croatia

Time : 15:00 - 16.00 CEST (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

YouTube :  https://youtu.be/D7VolDOrFBI

Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords:  Grunwald–Letnikov fractional derivative, Hypergeometric type functions, McKay I Bessel distribution, Functional bounds for special functions

Abstract: Using the Grunwald--Letnikov (GL) fractional derivative in transforming the integrands for several mathematical models, important simplifications result. More precisely, we obtain closed form representations for integrals in mean field variational Bayes, incomplete Lipschitz-Hankel integrals which define certain Exton's hypergeometric functions and therefore develop functional bounds for a set of related and/or associated hypergeometric type functions. Also, we present a GL form expression for the Toronto function, which implies a closed form expression for the Nuttall Q function applied to a special parameters case of the Kampe de Feriet generalized hypergeometric function of two variables

Biography: Tibor Pogany (in native Hungarian or Poganj in Croatian) was born in Apatin (former Yugoslavia) in 1954. Education: elementary and high school in Hungarian teaching language, BSc (statistics and Applications major) in 1978, MSc in 1981, PhD in 1986 (both theses in stochastic processes), all with the University of Belgrade, Faculty of Science, Department of Mathematics, habilitation in 2015 in Doctoral School of Applied Mathematics, Obuda University, Budapest, Hungary. Work: 8 years high school teaching experience (1978-1986), and 33 years teaching students in undergraduate, graduate, master and doctoral study in STEM at the Faculty of Maritime Studies, University of Rijeka, Croatia from 1988. Assistant professor 1987-1991; associate 1992-1997; professor 1997-2002; full professor permanent position 2002-2019; professor emeritus 2020. In the Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Obuda University, Budapest, Hungary as research professor (2013-2017) and university professor (2017-).

Erdos number 3 in four ways. MR entry record 202, ZfM entry record 212. Editor-in-Chief of the Journal of Classical Analysis, EB member in another 5-6 journals.

Research interests: Special functions and their application in statistics, Whittaker-Kotel'nikov-Shannon sampling reconstruction of deterministic and stochastic signals, Analytic inequalities.

Still Serbian national club-record holder for U-17 in 4x400m relay achieved September 13, 1970. Yugoslav vice-champion for U-19 in 110m hurdles from 1973.

Webpage: https://www.researchgate.net/profile/Tibor-Pogany?ev=hdr_xprf

Bibliography

[1] Tibor Pogany, Saralees Nadarajah, “Explicit forms for three integrals in Wand et al.”, Math. Commun. 26 (2021), 101-105.
[2] Tibor K. Pogany, “Functional inequalities for Bessel and hypergeometric type functions via probabilistic approach”, Math. News. 35 (2024), No. 1, 16pp.
[3] Katarzyna Gorska, Andrzej Horzela, Dragana Jankov Masirevic, Tibor K. Pogany, “On distribution of Rice-Middleton model”, Results Math. 79 (2024), No. 3, ArticleNo. 106, 22 pp.
[4] Dragana Jankov Maˇsirevi´c, Tibor K. Pog´any, Tomislav Buri´c, “Integral and series representations of the Nuttall function”, J. Comput. Appl. Math. 453 (2025), Article No. 116139, 11pp.
[5] Dragana Jankov Maˇsirevi´c, Tibor K. Pog´any, Nataˇsa Uji´c, “Observations on the the McKay Iν Bessel distribution II”, J. Math. Anal. Appl. 550 (2025), No. 2, Article No. 129569, 16pp