{
  "id": "1810.01134",
  "version": "v1",
  "published": "2018-10-02T09:29:21.000Z",
  "updated": "2018-10-02T09:29:21.000Z",
  "title": "Asymptotics of a ${}_3F_2$ hypergeometric function with four large parameters",
  "authors": [
    "R B Paris"
  ],
  "comment": "7 pages, 0 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider the asymptotic behaviour of the generalised hypergeometric function \\[{}_3F_2\\bl(\\!\\!\\begin{array}{c} 1, (1+t)k/2, (1+t)k/2+1/2\\\\tk+1, k+1\\end{array}\\!\\!; x\\br),\\qquad 0<x,t\\leq 1\\] as the parameter $k\\to+\\infty$. Numerical results illustrating the accuracy of the resulting expansion are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-02T09:29:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C05",
      "34E05",
      "41A60"
    ],
    "keywords": [
      "large parameters",
      "asymptotic behaviour",
      "generalised hypergeometric function",
      "numerical results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}