{
  "id": "2002.10682",
  "version": "v1",
  "published": "2020-02-25T05:43:31.000Z",
  "updated": "2020-02-25T05:43:31.000Z",
  "title": "On an integral identity",
  "authors": [
    "Alin Bostan",
    "Fernando Chamizo",
    "Mikael P. Sundqvist"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "We give three elementary proofs of a nice equality of definite integrals, which arises from the theory of bivariate hypergeometric functions, and has connections with irrationality proofs in number theory. We furthermore provide a generalization together with an equally elementary proof and discuss some consequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-25T05:43:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral identity",
      "bivariate hypergeometric functions",
      "definite integrals",
      "nice equality",
      "irrationality proofs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}