{
  "id": "2102.09175",
  "version": "v1",
  "published": "2021-02-18T06:31:26.000Z",
  "updated": "2021-02-18T06:31:26.000Z",
  "title": "Connection problem for an extension of $q$-hypergeometric systems",
  "authors": [
    "Takahiko Nobukawa"
  ],
  "comment": "25 pages",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We solve the connection problem of a certain system of linear $q$-difference equations recently introduced by K. Park. The result contains the connection formulas of the $q$-Lauricella hypergeometric function $\\varphi_{D}$ and those of the $q$-generalized hypergeometric function ${}_{N+1}\\varphi_{N}$ as special cases. Our result gives a simultaneous extension of them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-18T06:31:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D70",
      "39A13"
    ],
    "keywords": [
      "connection problem",
      "hypergeometric systems",
      "lauricella hypergeometric function",
      "difference equations",
      "connection formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}