{
  "id": "math/0412532",
  "version": "v1",
  "published": "2004-12-29T20:41:11.000Z",
  "updated": "2004-12-29T20:41:11.000Z",
  "title": "Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry",
  "authors": [
    "J. F. van Diejen"
  ],
  "comment": "13 pages, LaTeX",
  "journal": "Contemporary Math. 417 (2006), 157-169",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a formula describing the asymptotics of a class of multivariate orthogonal polynomials with hyperoctahedral symmetry as the degree tends to infinity. The polynomials under consideration are characterized by a factorized weight function satisfying certain analyticity assumptions. As an application, the large-degree asymptotics of the Koornwinder-Macdonald BC_N-type multivariate Askey-Wilson polynomials is determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-29T20:41:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D52",
      "41A60"
    ],
    "keywords": [
      "multivariate orthogonal polynomials",
      "hyperoctahedral symmetry",
      "multivariate askey-wilson polynomials",
      "large-degree asymptotics",
      "degree tends"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12532V"
    }
  }
}