{
  "id": "math/0403532",
  "version": "v1",
  "published": "2004-03-31T06:12:18.000Z",
  "updated": "2004-03-31T06:12:18.000Z",
  "title": "Multiple little q-Jacobi polynomials",
  "authors": [
    "Kelly Postelmans",
    "Walter Van Assche"
  ],
  "comment": "15 pages",
  "journal": "J. Comput. Appl. Math. 178 (2005), 361-375",
  "categories": [
    "math.CA"
  ],
  "abstract": "We introduce two kinds of multiple little q-Jacobi polynomials by imposing orthogonality conditions with respect to r discrete little q-Jacobi measures on the exponential lattice q^k (k=0,1,2,3,...), where 0 < q < 1. We show that these multiple little q-Jacobi polynomials have useful q-difference properties, such as a Rodrigues formula (consisting of a product of r difference operators). Some properties of the zeros of these polynomials and some asymptotic properties will be given as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-31T06:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D45",
      "42C05"
    ],
    "keywords": [
      "multiple little q-jacobi polynomials",
      "discrete little q-jacobi measures",
      "useful q-difference properties",
      "difference operators",
      "rodrigues formula"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Computational and Applied Mathematics",
      "year": 2005,
      "month": "Jun",
      "volume": 178,
      "pages": 361
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005JCoAM.178..361P"
    }
  }
}