{ "id": "1409.8527", "version": "v1", "published": "2014-09-30T12:58:02.000Z", "updated": "2014-09-30T12:58:02.000Z", "title": "A note on a hypergeometric transformation formula due to Slater with an application", "authors": [ "Y. S. Kim", "A. K. Rathie", "R. B. Paris" ], "comment": "5 pages, 0 figures", "categories": [ "math.CA" ], "abstract": "In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a ${}_5F_4(-1)$ series with one pair of parameters differing by unity expressed as a linear combination of two ${}_3F_2(1)$ series.", "revisions": [ { "version": "v1", "updated": "2014-09-30T12:58:02.000Z" } ], "analyses": { "subjects": [ "33C20" ], "keywords": [ "application", "general hypergeometric transformation formula", "minor corrections", "linear combination", "parameters" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.8527K" } } }