{
  "id": "1011.5585",
  "version": "v4",
  "published": "2010-11-25T10:36:32.000Z",
  "updated": "2011-11-04T14:03:18.000Z",
  "title": "On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials",
  "authors": [
    "Tom H. Koornwinder"
  ],
  "comment": "dedicated to Willard Miller on the occasion of his retirement; the unnumbered formula after (2.5) is corrected",
  "journal": "SIGMA 7 (2011), 040, 8 pages",
  "doi": "10.3842/SIGMA.2011.040",
  "categories": [
    "math.CA"
  ],
  "abstract": "A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-11-04T14:03:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D45",
      "33C45"
    ],
    "keywords": [
      "big q-jacobi polynomials",
      "q-racah polynomials",
      "limit formula",
      "little q-jacobi polynomials",
      "multi-parameter limit"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2011,
      "month": "Apr",
      "volume": 7,
      "pages": "040"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011SIGMA...7..040K"
    }
  }
}