{
  "id": "math/0302270",
  "version": "v4",
  "published": "2003-02-24T14:48:50.000Z",
  "updated": "2003-06-16T15:21:44.000Z",
  "title": "Abel-Rothe type generalizations of Jacobi's triple product identity",
  "authors": [
    "Michael J. Schlosser"
  ],
  "comment": "14 pages, mistake in appendix corrected; to appear in \"Theory and Applications of Special Functions, A volume dedicated to Mizan Rahman\", M. E. H. Ismail and E. Koelink (eds.), Dev. Math",
  "journal": "Dev. Math. 13 (2005), 383-400",
  "categories": [
    "math.CO",
    "math.CA"
  ],
  "abstract": "Using a simple classical method we derive bilateral series identities from terminating ones. In particular, we show how to deduce Ramanujan's 1-psi-1 summation from the q-Pfaff-Saalschuetz summation. Further, we apply the same method to our previous q-Abel-Rothe summation to obtain, for the first time, Abel-Rothe type generalizations of Jacobi's triple product identity. We also give some results for multiple series.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-06-16T15:21:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "33D67"
    ],
    "keywords": [
      "jacobis triple product identity",
      "abel-rothe type generalizations",
      "derive bilateral series identities",
      "q-pfaff-saalschuetz summation",
      "multiple series"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2270S"
    }
  }
}