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

Abstract

In this paper, we obtain a $(p,\nu )$-extension of Srivastava's triple hypergeometric function $H_B(\cdot )$, together by using the extended Beta function $B_{p,\nu }(x,y)$ 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.

12 pages, 0 figures. arXiv admin note: text overlap with arXiv:1711.07780