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

S. A. Dar; R. B. Paris

doi:10.2298/pim2022033d

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 language	English
Pages (from-to)	33-45
Number of pages	13
Journal	Publications de l'Institut Mathematique
Volume	108
Issue number	122
DOIs	https://doi.org/10.2298/pim2022033d
Publication status	Published - 2 Dec 2020

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abstract = "We obtain a (p,ν)-extension of Srivastava{\textquoteright}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.",

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AB - 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.

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