{
  "id": "0807.0313",
  "version": "v1",
  "published": "2008-07-02T10:07:13.000Z",
  "updated": "2008-07-02T10:07:13.000Z",
  "title": "The symmetries of the 2phi1",
  "authors": [
    "F. J. van de Bult"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that the only symmetries of the 2phi1 within a large class of possible transformations are Heine's transformations. The class of transformations considered consists of equation of the form 2phi1(a,b;c;q,z)= f(a,b,c,z) 2phi1(L(a,b,c,q,z)), where f is a q-hypergeometric term and L a linear operator on the logarithms of the parameters. We moreover prove some results on q-difference equations satisfied by 2phi1, which are used to prove the main result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-02T10:07:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "05A19"
    ],
    "keywords": [
      "symmetries",
      "large class",
      "heines transformations",
      "linear operator",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.0313V"
    }
  }
}