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

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

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    In this paper, we obtain a (p, ν)-extension of Srivastava’s triple hypergeometric function HB ⁢ (⋅), by using the extended beta function Bp ⁢ (x, y) introduced in [R. K. Parmar, P. Chopra and R. B. Paris, On an extension of extended beta and hypergeometric functions, J. Class. Anal. 11 (2017), no. 2, 91–106]. 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.
    Original languageEnglish
    JournalAnalysis (Germany)
    Early online date20 Feb 2021
    DOIs
    Publication statusE-pub ahead of print - 20 Feb 2021

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