{
  "id": "1707.06275",
  "version": "v1",
  "published": "2017-07-19T19:58:52.000Z",
  "updated": "2017-07-19T19:58:52.000Z",
  "title": "On integral representations and asymptotics of some hypergeometric functions in two variables",
  "authors": [
    "Sascha Wald",
    "Malte Henkel"
  ],
  "comment": "16 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The leading asymptotic behaviour of the Humbert functions $\\Phi_2$, $\\Phi_3$, $\\Xi_2$ of two variables is found, when the absolute values of the two independent variables become simultaneosly large. New integral representations of these functions are given. These are re-expressed as inverse Laplace transformations and the asymptotics is then found from a Tauberian theorem. Some integrals of the Humbert functions are also analysed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-19T19:58:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral representations",
      "hypergeometric functions",
      "humbert functions",
      "inverse laplace transformations",
      "tauberian theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}