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

S A Dar; R B Paris

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

Classical Analysis and ODEs 2017-11-29 v1

Authors: S A Dar , R B Paris

Abstract

In this paper, we obtain a $(p,\nu)$ -extension of Srivastava's triple hypergeometric function $H_B(\cdot)$ , together by using the extended Beta function $B_{p,\nu}(x,y)$ 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.

Keywords

hypergeometric function beta function integral representation mellin transform recursion formula differential formula

Cite

@article{arxiv.1711.07809,
  title  = {A $(p,\nu)$-extension of Srivastava's triple hypergeometric function and its properties},
  author = {S A Dar and R B Paris},
  journal= {arXiv preprint arXiv:1711.07809},
  year   = {2017}
}

Comments

12 pages, 0 figures. arXiv admin note: text overlap with arXiv:1711.07780

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

Abstract

Keywords

Cite

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