EXTENDED GENERALIZED τ -GAUSS’ HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

Bharti Chauhan; Prakriti Rai

doi:10.56827/SEAJMMS.2022.1803.6

Bharti Chauhan Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida - 201301, Uttar Pradesh, INDIA
Prakriti Rai Department of Mathematics, Siddharth University, Kapilvastu, (U. P.), INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.6

Abstract

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

Author Biographies

Bharti Chauhan, Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida - 201301, Uttar Pradesh, INDIA

Prakriti Rai, Department of Mathematics, Siddharth University, Kapilvastu, (U. P.), INDIA