{
  "id": "1212.1410",
  "version": "v2",
  "published": "2012-12-06T18:26:20.000Z",
  "updated": "2013-02-05T18:22:08.000Z",
  "title": "Gevrey expansions of hypergeometric integrals I",
  "authors": [
    "F. J. Castro-Jimenez",
    "M. Granger"
  ],
  "comment": "New statements and proofs for Theorem 4.8 and Proposition 4.12. Corrected typos",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we consider the case of the systems associated with a one row matrix, for which the integration domains are one dimensional. We prove that any Gevrey series solution along the singular support of the system is the asymptotic expansion of a holomorphic solution given by a carefully chosen integral representation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-05T18:22:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32C38",
      "14F10",
      "33C70",
      "35A27"
    ],
    "keywords": [
      "hypergeometric integrals",
      "gevrey expansions",
      "gevrey series solution",
      "irregular hypergeometric systems",
      "study integral representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.1410C"
    }
  }
}