{
  "id": "math/0402031",
  "version": "v1",
  "published": "2004-02-03T11:27:25.000Z",
  "updated": "2004-02-03T11:27:25.000Z",
  "title": "A Christoffel-Darboux formula for multiple orthogonal polynomials",
  "authors": [
    "E. Daems",
    "A. B. J. Kuijlaars"
  ],
  "comment": "11 pages, no figures",
  "journal": "Journal of Approximation Theory 130 (2004), 188-200",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "Bleher and Kuijlaars recently showed that the eigenvalue correlations from matrix ensembles with external source can be expressed by means of a kernel built out of special multiple orthogonal polynomials. We derive a Christoffel-Darboux formula for this kernel for general multiple orthogonal polynomials. In addition, we show that the formula can be written in terms of the solution of the Riemann-Hilbert problem for multiple orthogonal polynomials, which will be useful for asymptotic analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-03T11:27:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "35Q15"
    ],
    "keywords": [
      "christoffel-darboux formula",
      "general multiple orthogonal polynomials",
      "special multiple orthogonal polynomials",
      "asymptotic analysis",
      "matrix ensembles"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2031D"
    }
  }
}