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

2017/11/21 by Dar, S A, Paris, R B
#33B15 #33C05 #33C10 #33C45 #33C60 #33C65 #33C70 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.07809

Abstract

In this paper, we obtain a (p,ν)-extension of Srivastava's triple hypergeometric function H_B(⋅), together by using the extended Beta function B_p,ν(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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