A (p,)-extension of Srivastava's triple hypergeometric function and its properties

Abstract

In this paper, we obtain a (p,)-extension of Srivastava's triple hypergeometric function HB(·), together by using the extended Beta function Bp,(x,y) introduced in arXiv:1502.06200. We give some of the main properties of this extended function, which include several integral representations involving Exton's hypergeometric function, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.

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