{
  "id": "0706.3003",
  "version": "v1",
  "published": "2007-06-20T14:34:46.000Z",
  "updated": "2007-06-20T14:34:46.000Z",
  "title": "Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula",
  "authors": [
    "H. J. Weber"
  ],
  "comment": "13 pages, no figures",
  "journal": "Central European J. Math. 5 (2007) 415-427",
  "categories": [
    "math.CA"
  ],
  "abstract": "Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method. Among the key results is a generating function in closed form leading to short and transparent derivations of recursion relations and an addition theorem. The complementary polynomials satisfy a hypergeometric-type differential equation themselves, have a three-term recursion among others and obey Rodrigues formulas. Applications to the classical polynomials are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-20T14:34:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "34B24",
      "35Q40",
      "42C05"
    ],
    "keywords": [
      "real polynomial solutions",
      "rodrigues formula",
      "general hypergeometric-type differential equation complementary",
      "hypergeometric-type differential equation complementary polynomials",
      "connections"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.3003W"
    }
  }
}