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arxiv: 1711.07809 · v1 · pith:JSSFQRQOnew · submitted 2017-11-21 · 🧮 math.CA

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

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keywords functionhypergeometricextendedextensionpropertiessrivastavatriplearxiv
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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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