On Extensions of Extended Gauss Hypergeometric Function

Abstract

The aim of this paper is to introduce a new extensions of extended Gauss hypergeometric function. Certain integral representations, transformation and summation formulas for extended Gauss hypergeometric function are presented and some special cases are also discussed.

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

“…The extended Beta function given in equations (1.5) and (1.6) are used in [4] to define the following extended Gauss hypergeometric function:…”