Some summation theorems and transformations for hypergeometric functions of Kampé de Fériet and Srivastava-Reference-Cited by-同舟云学术

Some summation theorems and transformations for hypergeometric functions of Kampé de Fériet and Srivastava

Published:2024-01-02 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Srivastava Hari M.¹,Gupta Bhawna²,Qureshi Mohammad Idris³,Baboo Mohd Shaid²

Affiliation:

1. Department of Mathematics and Statistics , University of Victoria , Victoria , British Columbia V8W 3R4 , Canada ; and Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; and Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea; Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan; and Department of Applied Mathe

2. Department of Mathematics , School of Basic Sciences and Research , Sharda University , Greater Noida 201306, Uttar Pradesh , India

3. Department of Applied Sciences and Humanities , Faculty of Engineering and Technology , Jamia Millia Islamia (A Central University) , New Delhi 110025 , India

Abstract

Abstract Owing to the remarkable success of the hypergeometric functions of one variable, the authors present a study of some families of hypergeometric functions of two or more variables. These functions include (for example) the Kampé de Fériet-type hypergeometric functions in two variables and Srivastava’s general hypergeometric function in three variables. The main aim of this paper is to provide several (presumably new) transformation and summation formulas for appropriately specified members of each of these families of hypergeometric functions in two and three variables. The methodology and techniques, which are used in this paper, are based upon the evaluation of some definite integrals involving logarithmic functions in terms of Riemann’s zeta function, Catalan’s constant, polylogarithm functions, and so on.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2114/pdf

Reference49 articles.

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