{
  "id": "math/0304249",
  "version": "v2",
  "published": "2003-04-18T01:38:57.000Z",
  "updated": "2003-06-23T13:55:43.000Z",
  "title": "Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations",
  "authors": [
    "Hjalmar Rosengren",
    "Michael Schlosser"
  ],
  "comment": "29 pages, minor changes; to appear in Indag. Math., special volume dedicated to Tom Koornwinder",
  "journal": "Indag. Math. (N.S.) 14 (2003), 483-514",
  "categories": [
    "math.CA",
    "math.CO",
    "math.QA"
  ],
  "abstract": "Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of Bailey's nonterminating 10-phi-9 transformation. From this result, we deduce new multivariable terminating 10-phi-9 transformations, 8-phi-7 summations and other identities. We also use similar methods to derive new multivariable 1-psi-1 summations. Some of our results are extended to the case of elliptic hypergeometric series.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-06-23T13:55:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D67",
      "05A30",
      "33D05"
    ],
    "keywords": [
      "elliptic hypergeometric series",
      "determinant evaluation",
      "multiple basic",
      "summations",
      "transformation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4249R"
    }
  }
}