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arXiv · 1711.07809

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

S A Dar·R B Paris
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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.

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S A Dar, R B Paris. 2017-11-21. A $(p,\nu)$-extension of Srivastava's triple hypergeometric function and its properties. https://arxiv.org/abs/1711.07809

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