{
  "id": "1803.03110",
  "version": "v1",
  "published": "2018-02-25T22:12:45.000Z",
  "updated": "2018-02-25T22:12:45.000Z",
  "title": "Transformation formulas and three-term relations for basic hypergeometric series",
  "authors": [
    "Yuka Suzuki"
  ],
  "comment": "17pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We derive two generalizations of Gasper's transformation formula for basic hypergeometric series. Using these generalized formulas, we give explicit expressions for the coefficients of three-term relations for the basic hypergeometric series {}_{2}phi_{1}, which are generalizations of the author's previous results on three-term relations for {}_{2}phi_{1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-25T22:12:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15"
    ],
    "keywords": [
      "basic hypergeometric series",
      "three-term relations",
      "gaspers transformation formula",
      "generalizations",
      "explicit expressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}