Euler type integral representations for the Kampé de Fériet functions-Reference-Cited by-同舟云学术

Euler type integral representations for the Kampé de Fériet functions

Published:2023-12-20 Issue:4 Volume:20 Page:485-504
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Ergashev Tuhtasin¹,Hasanov Anvardjan²,Yuldashev Tursun³

Affiliation:

1. National Research University «TIIAME», Tashkent, Uzbekistan

2. Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan, Department of Mathematics, Analysis, Logic and Discrete Mathematics, Ghent University, Belgium

3. Tashkent State University of Economics, Tashkent, Uzbekistan

Abstract

In this paper, the Kampé de Fériet functions of arbitrary order and their Euler type integral representations are studied. The general form of the integral representations for a Kampé de Fériet function are proved. Conditions, under which these representations are expressed in terms of products of two generalized hypergeometric functions, are found. The examples are identified in which the integral representation of the Kampé de Fériet function contains an elementary function or a known second order hypergeometric function in two variables.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

Ocean Engineering

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