{ "id": "math/0309241", "version": "v1", "published": "2003-09-15T06:38:18.000Z", "updated": "2003-09-15T06:38:18.000Z", "title": "Extensions of the well-poised and elliptic well-poised Bailey lemma", "authors": [ "S. Ole Warnaar" ], "comment": "16 pages, AMS-LaTeX, to appear in Indag. Math. (N.S.)", "journal": "Indag. Math. (N.S.) 14 (2003), 571-588", "categories": [ "math.CA", "math.CO" ], "abstract": "We establish a number of extensions of the well-poised Bailey lemma and elliptic well-poised Bailey lemma. As application we prove some new transformation formulae for basic and elliptic hypergeometric series, and embed some recent identities of Andrews, Berkovich and Spiridonov in a well-poised Bailey tree.", "revisions": [ { "version": "v1", "updated": "2003-09-15T06:38:18.000Z" } ], "analyses": { "subjects": [ "33D15", "33E05" ], "keywords": [ "elliptic well-poised bailey lemma", "extensions", "elliptic hypergeometric series", "well-poised bailey tree", "transformation formulae" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......9241W" } } }