{
  "id": "math/0505378",
  "version": "v1",
  "published": "2005-05-18T09:05:05.000Z",
  "updated": "2005-05-18T09:05:05.000Z",
  "title": "Lowering and raising operators for some special orthogonal polynomials",
  "authors": [
    "Tom H. Koornwinder"
  ],
  "comment": "12 pages; to appear in proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003)",
  "journal": "Contemporary Math. 417, Amer. Math. Soc., 2006, pp. 227-238",
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper discusses operators lowering or raising the degree but preserving the parameters of special orthogonal polynomials. Results for one-variable classical (q-)orthogonal polynomials are surveyed. For Jacobi polynomials associated with root system BC_2 a new pair of lowering and raising operators is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-18T09:05:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "33D45",
      "33C52"
    ],
    "keywords": [
      "special orthogonal polynomials",
      "raising operators",
      "paper discusses operators lowering",
      "root system",
      "parameters"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5378K"
    }
  }
}