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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 247

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 function, Generalized $\tau$-Gauss' hypergeometric function, Ramanujan's Master theorem.

A.M.S. subject classification

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

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