O. Marichev : Integral transforms with Fox H-functions in kernels

Date: Friday, 6 June, 2025 - 15:00 to 16:00 CEST
Title : Integral transforms with Fox H-functions in kernels
Speaker: Oleg Marichev, Wolfram Research

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy
Organizers : Pavan Pranjivan Mehta* and Arran Fernandez**
SISSA, International School of Advanced Studies, Italy
** Eastern Mediterranean University, Northern Cyprus

Keywords: Fox H-function, integral transform, fractional integral, fractional derivative

Abstract

In this talk, we demonstrate how the systematic use of the theory of the Mellin transform leads to a simple procedure by which a huge class of integral transforms can be calculated. In particular, these transforms include Weyl and Riemann--Liouville fractional integrals.

Biography

Oleg Igorevich Marichev is a Soviet and American mathematician: https://en.wikipedia.org/wiki/Oleg_Ma... .He graduated from the University of Belarus, where he continued his studies to earn a Ph.D. His scientific supervisor was Fedor Gakhov. He is the author of more than 10 books on integrals, integral equations, fractional calculus, and special functions. Around 1990, he received the D.Sc. degree (Habilitation) in mathematics from the University of Jena, Germany. In 1991, Marichev began to work with Stephen Wolfram on developing system Mathematica, where he implemented Meijer G and other functions and operations using original algorithms. He is the developer of Wolfram Functions Site with more than 307000 formulas: https://functions.wolfram.com/.

Bibliography

[1] Samko S.G., Kilbas A.A., Marichev O.I. (1993) Fractional integrals and derivatives. Gordon and Breach Science Publishers.
[2] Wikipedia. “Oleg Marichev”. In: https://en.wikipedia.org/wiki/Oleg_Ma... (2025).