{
  "id": "1804.06749",
  "version": "v1",
  "published": "2018-04-18T14:12:56.000Z",
  "updated": "2018-04-18T14:12:56.000Z",
  "title": "Asymptotic expansions of Jacobi polynomials for large values of $β$ and of their zeros",
  "authors": [
    "A. Gil",
    "J. Segura",
    "N. M. Temme"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Asymptotic approximations of Jacobi polynomials are given for large values of the $\\beta$-parameter and of their zeros. The expansions are given in terms of Laguerre polynomials and of their zeros. The levels of accuracy of the approximations are verified by numerical examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-18T14:12:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "41A60"
    ],
    "keywords": [
      "jacobi polynomials",
      "large values",
      "asymptotic expansions",
      "asymptotic approximations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}