A (p,ν)-extension of Srivastava’s triple hypergeometric function HC

S. A. Dar, R. B. Paris

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    Abstract

    We obtain a (p,ν)-extension of Srivastava’s triple hypergeometric function HC(•) by employing the extended Beta function Bp,ν(x, y) introduced in Parmar et al. [J. Class. Anal. 11 (2017), 91-106]. We give some of the main properties of this extended function, which include several integral representations, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.
    Original languageEnglish
    Pages (from-to)33-45
    Number of pages13
    JournalPublications de l'Institut Mathematique
    Volume108
    Issue number122
    DOIs
    Publication statusPublished - 2 Dec 2020

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