{
  "id": "1703.08753",
  "version": "v1",
  "published": "2017-03-26T01:56:15.000Z",
  "updated": "2017-03-26T01:56:15.000Z",
  "title": "Three term relations for basic hypergeometric series",
  "authors": [
    "Yuka Suzuki"
  ],
  "comment": "16pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Any three basic hypergeometric series {}_{2}phi_{1} whose respective parameters (a, b, c) differ by integer powers of the base q satisfy a linear relation with coefficients which are rational functions of a, b, c, q and the variable x. These relations are called three term relations for the basic hypergeometric series {}_{2}phi_{1}. This paper gives explicit expressions for the coefficients of these three term relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-26T01:56:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15"
    ],
    "keywords": [
      "basic hypergeometric series",
      "term relations",
      "linear relation",
      "explicit expressions",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}