{
  "id": "2207.12777",
  "version": "v1",
  "published": "2022-07-26T09:51:32.000Z",
  "updated": "2022-07-26T09:51:32.000Z",
  "title": "Hypergeometric solutions for variants of the $q$-hypergeometric equation",
  "authors": [
    "Taikei Fujii",
    "Takahiko Nobukawa"
  ],
  "comment": "36 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We introduce a configuration of a $q$-difference equation and characterize the variants of the $q$-hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the $q$-hypergeometric equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-26T09:51:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D60",
      "33D15"
    ],
    "keywords": [
      "hypergeometric equation",
      "hypergeometric solutions",
      "configuration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}