{
  "id": "2212.04271",
  "version": "v1",
  "published": "2022-12-08T13:54:34.000Z",
  "updated": "2022-12-08T13:54:34.000Z",
  "title": "Differentiation identities for hypergeometric functions",
  "authors": [
    "Hayato Motohashi"
  ],
  "comment": "14 pages, 1 figure",
  "journal": "Expo. Math. 40 (2022) 894-909",
  "doi": "10.1016/j.exmath.2022.07.005",
  "categories": [
    "math.CA"
  ],
  "abstract": "It is well-known that differentiation of hypergeometric function multiplied by a certain power function yields another hypergeometric function with a different set of parameters. Such differentiation identities for hypergeometric functions have been used widely in various fields of applied mathematics and natural sciences. In this expository note, we provide a simple proof of the differentiation identities, which is based only on the definition of the coefficients for the power series expansion of the hypergeometric functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-08T13:54:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33Cxx"
    ],
    "keywords": [
      "hypergeometric function",
      "differentiation identities",
      "power function yields",
      "power series expansion",
      "natural sciences"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}