EXTENDED GENERALIZED τ -GAUSS’ HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS
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.
Published
2022-12-30
Section
Articles