{
  "id": "1311.2522",
  "version": "v2",
  "published": "2013-11-11T18:41:53.000Z",
  "updated": "2014-03-20T14:09:04.000Z",
  "title": "The resurgence properties of the large order asymptotics of the Anger--Weber function I",
  "authors": [
    "Gergő Nemes"
  ],
  "comment": "32 pages. arXiv admin note: substantial text overlap with arXiv:1309.2209, accepted in Journal of Classical Analysis",
  "journal": "Journal of Classical Analysis, Volume 4, Issue 1, 2014, 1-39",
  "categories": [
    "math.CA"
  ],
  "abstract": "The aim of this paper is to derive new representations for the Anger--Weber function, exploiting the reformulation of the method of steepest descents by C. J. Howls (Howls, Proc. R. Soc. Lond. A 439 (1992) 373--396). Using these representations, we obtain a number of properties of the large order asymptotic expansions of the Anger--Weber function, including explicit and realistic error bounds, asymptotics for the late coefficients, exponentially improved asymptotic expansions, and the smooth transition of the Stokes discontinuities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-20T14:09:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A60",
      "30E15",
      "34M40"
    ],
    "keywords": [
      "anger-weber function",
      "resurgence properties",
      "large order asymptotic expansions",
      "realistic error bounds",
      "stokes discontinuities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.2522N"
    }
  }
}