{
  "id": "math/0508264",
  "version": "v1",
  "published": "2005-08-15T18:36:58.000Z",
  "updated": "2005-08-15T18:36:58.000Z",
  "title": "Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite",
  "authors": [
    "Diego Dominici"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We analyze the Hermite polynomials $H_{n}(\\xi)$ and their zeros asymptotically as $n\\to\\infty,$ using the limit relation between the Charlier and Hermite polynomials. Our formulas involve some special functions and they yield very accurate approximations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-15T18:36:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "34E05",
      "33C10"
    ],
    "keywords": [
      "asymptotic analysis",
      "hermite polynomials",
      "askey-scheme",
      "limit relation",
      "special functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8264D"
    }
  }
}