{
  "id": "1904.03812",
  "version": "v1",
  "published": "2019-04-08T03:04:16.000Z",
  "updated": "2019-04-08T03:04:16.000Z",
  "title": "A canonical form of the hypergeometric equation and transformation formulas",
  "authors": [
    "Noriyuki Otsubo"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "We give a new method to prove in a uniform and easy way various transformation formulas for Gauss' hypergeometric functions. The key is a certain canonical form of the hypergeometric differential equation. Analogy for $q$-hypergeometric functions is also studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-08T03:04:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C05",
      "33D15"
    ],
    "keywords": [
      "transformation formulas",
      "canonical form",
      "hypergeometric equation",
      "hypergeometric functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}