{ "id": "1607.01542", "version": "v1", "published": "2016-07-06T09:55:25.000Z", "updated": "2016-07-06T09:55:25.000Z", "title": "On transformation formulae for Srivastava-Daoust type $q$-hypergeometric series", "authors": [ "Yashoverdhan Vyas", "Kalpana Fatawat" ], "comment": "11 pages", "journal": "J. Chem. Bio. Phy. Sci. Sec. C, 6(2): 677 - 687. 2016", "categories": [ "math.CA" ], "abstract": "We present here the $q$-analogues of certain transformations or reduction formulae for Srivastava-Daoust type double hypergeometric series. These reduction formulae are derived by utilizing the extended Bailey's Transform developed and studied by Joshi and Vyas [Int. J. Math. Sci., (12), 2005, 1909-1927]. A number of well-known $q$-hypergeometric transformations are also obtained as special cases of our results.", "revisions": [ { "version": "v1", "updated": "2016-07-06T09:55:25.000Z" } ], "analyses": { "subjects": [ "33C20", "33C70" ], "keywords": [ "transformation formulae", "reduction formulae", "srivastava-daoust type double hypergeometric series", "extended baileys transform", "hypergeometric transformations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }