{
  "id": "math/0202232",
  "version": "v3",
  "published": "2002-02-22T15:42:30.000Z",
  "updated": "2002-05-10T15:14:50.000Z",
  "title": "Reduction formulae for Karlsson-Minton type hypergeometric functions",
  "authors": [
    "Hjalmar Rosengren"
  ],
  "comment": "21 pages; substantial additions compared to previous version",
  "journal": "Constr. Approx. 20 (2004), 525-548",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a master theorem for hypergeometric functions of Karlsson-Minton type, stating that a very general multilateral U(n) Karlsson-Minton type hypergeometric series may be reduced to a finite sum. This identity contains the Karlsson-Minton summation formula and many of its known generalizations as special cases, and it also implies several \"Bailey-type\" identities for U(n) hypergeometric series, including multivariable 10-W-9 transformations of Milne and Newcomb and of Kajihara. Even in the one-variable case our identity is new, and even in this case its proof depends on the theory of multivariable hypergeometric series.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-05-10T15:14:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "33D67"
    ],
    "keywords": [
      "karlsson-minton type hypergeometric functions",
      "reduction formulae",
      "karlsson-minton type hypergeometric series",
      "karlsson-minton summation formula",
      "special cases"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2232R"
    }
  }
}