{
  "id": "1101.4371",
  "version": "v1",
  "published": "2011-01-23T13:41:59.000Z",
  "updated": "2011-01-23T13:41:59.000Z",
  "title": "Asymptotics of Orthogonal Polynomials via Recurrence Relations",
  "authors": [
    "X. -S. Wang",
    "R. Wong"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We use the Legendre polynomials and the Hermite polynomials as two examples to illustrate a simple and systematic technique on deriving asymptotic formulas for orthogonal polynomials via recurrence relations. Another application of this technique is to provide a solution to a problem recently raised by M. E. H. Ismail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-23T13:41:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A60",
      "33C45"
    ],
    "keywords": [
      "recurrence relations",
      "orthogonal polynomials",
      "legendre polynomials",
      "systematic technique",
      "deriving asymptotic formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.4371W"
    }
  }
}