{
  "id": "1912.11266",
  "version": "v1",
  "published": "2019-12-24T09:44:51.000Z",
  "updated": "2019-12-24T09:44:51.000Z",
  "title": "Beyond the beta integral method: transformation formulas for hypergeometric functions via Meijer's G function",
  "authors": [
    "D. B. Karp",
    "E. G. Prilepkina"
  ],
  "comment": "31 page; no figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "The beta integral method proved itself as a simple nonetheless powerful method of generating hypergeometric identities at a fixed argument. In this paper we propose a generalization by substituting the beta density with a particular type of Meijer's G function. By application of our method to known transformation formulas we derive about forty hypergeometric identities majority of which are believed to be new.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-24T09:44:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "33C60"
    ],
    "keywords": [
      "beta integral method",
      "transformation formulas",
      "hypergeometric functions",
      "hypergeometric identities majority",
      "simple nonetheless powerful method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}