{
  "id": "0709.0252",
  "version": "v1",
  "published": "2007-09-03T15:08:59.000Z",
  "updated": "2007-09-03T15:08:59.000Z",
  "title": "Asymptotic analysis of the Bell polynomials by the ray method",
  "authors": [
    "Diego Dominici"
  ],
  "comment": "7 pages, 1 figure",
  "categories": [
    "math.CA"
  ],
  "abstract": "We analyze the Bell polynomials $B_{n}(x)$ asymptotically as $n\\to\\infty$. We obtain asymptotic approximations from the differential-difference equation which they satisfy, using a discrete version of the ray method. We give some examples showing the accuracy of our formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-03T15:08:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34E05",
      "11B73",
      "34E20"
    ],
    "keywords": [
      "ray method",
      "bell polynomials",
      "asymptotic analysis",
      "asymptotic approximations",
      "differential-difference equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.0252D"
    }
  }
}