{
  "id": "1112.5769",
  "version": "v1",
  "published": "2011-12-25T06:37:33.000Z",
  "updated": "2011-12-25T06:37:33.000Z",
  "title": "Hypergeometric functions as generalized Stieltjes transforms",
  "authors": [
    "Dmitry Karp",
    "Elena Prilepkina"
  ],
  "comment": "16 pages, no figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we apply generalized Stieltjes transform representation to study the generalized hypergeometric function. Among the results thus proved are new integral representations, inequalities, properties of the Pad\\'{e} table and the properties of the generalized hypergeometric function as a conformal map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-25T06:37:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "26A48"
    ],
    "keywords": [
      "generalized hypergeometric function",
      "apply generalized stieltjes transform representation",
      "integral representations",
      "properties",
      "conformal map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5769K"
    }
  }
}