Open Access

ARTICLE

Some Formulas Involving Hypergeometric Functions in Four Variables

by Hassen Aydi^1,2,3, Ashish Verma⁴, Jihad Younis⁵, Jung Rye Lee^6,*

1 Université de Sousse, Institut Supérieur D’Informatique et, Des Techniques de Communication, H. Sousse, 4000, Tunisia
2 Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
3 China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan
4 Department of Mathematics, V. B. S. Purvanchal University, Jaunpur, 222003, India
5 Department of Mathematics, Aden University, Khormaksar, P.o. Box 6014, Yemen
6 Department of Data Science, Daejin University, Kyunggi, 11159, Korea

* Corresponding Author: Jung Rye Lee. Email:

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 130(2), 887-902. https://doi.org/10.32604/cmes.2022.016924

Received 10 April 2021; Accepted 16 August 2021; Issue published 13 December 2021

Abstract

Several (generalized) hypergeometric functions and a variety of their extensions have been presented and investigated in the literature by many authors. In the present paper, we investigate four new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Also, some interesting particular cases and consequences of our results are discussed.

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Keywords

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