{
  "id": "math/0606440",
  "version": "v1",
  "published": "2006-06-19T09:50:01.000Z",
  "updated": "2006-06-19T09:50:01.000Z",
  "title": "Asymptotic zero distribution for a class of multiple orthogonal polynomials",
  "authors": [
    "E. Coussement",
    "J. Coussement",
    "W. Van Assche"
  ],
  "comment": "18 pages, 2 figures",
  "categories": [
    "math.CA",
    "math.SP"
  ],
  "abstract": "We establish the asymptotic zero distribution for polynomials generated by a four-term recurrence relation with varying recurrence coefficients having a particular limiting behavior. The proof is based on ratio asymptotics for these polynomials. We can apply this result to three examples of multiple orthogonal polynomials, in particular Jacobi-Pineiro, Laguerre I and the example associated with Macdonald functions. We also discuss an application to Toeplitz matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-19T09:50:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "42C05",
      "15A18"
    ],
    "keywords": [
      "asymptotic zero distribution",
      "multiple orthogonal polynomials",
      "four-term recurrence relation",
      "varying recurrence coefficients",
      "ratio asymptotics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6440C"
    }
  }
}