{ "id": "1711.07809", "version": "v1", "published": "2017-11-21T14:39:25.000Z", "updated": "2017-11-21T14:39:25.000Z", "title": "A $(p,ν)-extension of Srivastava's triple hypergeometric function and its properties", "authors": [ "S A Dar", "R B Paris" ], "comment": "12 pages, 0 figures", "categories": [ "math.CA" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-11-21T14:39:25.000Z" } ], "analyses": { "subjects": [ "33C60", "33C65", "33C70", "33B15", "33C05", "33C45", "33C10" ], "keywords": [ "srivastavas triple hypergeometric function", "extons hypergeometric function", "differential formula", "extended beta function", "mellin transform" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }