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

S. A. Dar*, R. B. Paris

*Corresponding author for this work

    Research output: Contribution to journalArticle

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    Abstract

    In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014). 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. In addition, a new integral representation of the extended Srivastava triple hypergeometric function involving Laguerre polynomials is obtained.

    Original languageEnglish
    Pages (from-to)237-245
    Number of pages9
    JournalJournal of Computational and Applied Mathematics
    Volume348
    Early online date5 Sep 2018
    DOIs
    Publication statusPublished - 1 Mar 2019

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