{
  "id": "1910.12560",
  "version": "v1",
  "published": "2019-10-28T11:16:09.000Z",
  "updated": "2019-10-28T11:16:09.000Z",
  "title": "Variants of $q$-hypergeometric equation",
  "authors": [
    "Naoya Hatano",
    "Ryuya Matsunawa",
    "Tomoki Sato",
    "Kouichi Takemura"
  ],
  "comment": "27 pages",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce two variants of $q$-hypergeometric equation. We obtain several explicit solutions of variants of $q$-hypergeometric equation. We show that a variant of $q$-hypergeometric equation can be obtained by a restriction of $q$-Appell equation of two variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-28T11:16:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "39A13"
    ],
    "keywords": [
      "hypergeometric equation",
      "explicit solutions",
      "appell equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}