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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 18, Issue 3 Article
Research Article

EXTENDED GENERALIZED $\tau$-GAUSS' HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

B
Bharti Chauhan Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida - 201301, Uttar Pradesh, INDIA
P
Prakriti Rai Department of Mathematics, Siddharth University, Kapilvastu, (U. P.), INDIA
Volume 18, Issue 3 Pages 55-66 December 30, 2022 523 downloads
Article overview

Abstract

In this article, by means of the extended beta function, we introduce new extension of the generalized $\tau$-Gauss' hypergeometric functions and present some new integral and series representations (including the one obtained by adopting the well-known Ramanujan's Master Theorem). We also consider some new and known results as consequences of our proposed extension of the generalized $\tau$-Gauss hypergeometric function.

Keywords and Phrases

Extended Beta functionGeneralized $\tau$-Gauss' hypergeometric functionRamanujan's Master theorem.

AMS Subject Classification

33B15, 33B20, 33C20, 33D05.

Reference information

How to Cite

Bharti Chauhan, Prakriti Rai (2022). EXTENDED GENERALIZED $\tau$-GAUSS' HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(3), 55-66.
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