{
  "id": "1407.8052",
  "version": "v2",
  "published": "2014-07-30T14:17:18.000Z",
  "updated": "2014-08-02T04:05:48.000Z",
  "title": "On a fundamental system of solutions of a certain hypergeometric equation",
  "authors": [
    "Teruhisa Tsuda"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the linear Pfaffian systems satisfied by a certain class of hypergeometric functions, which includes Gau\\ss's ${}_2 F_{1}$, Thomae's ${}_L F_{L-1}$ and Appell-Lauricella's $F_D$. In particular, we present a fundamental system of solutions with a characteristic local behavior by means of Euler-type integral representations. We also discuss how they are related to the theory of isomonodromic deformations or Painlev\\'e equations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-02T04:05:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fundamental system",
      "hypergeometric equation",
      "euler-type integral representations",
      "characteristic local behavior",
      "painleve equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.8052T"
    }
  }
}