Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros

  1. Fidalgo, U. 1
  2. Peralta, S.M. 1
  3. Ceniceros, J.M. 2
  1. 1 Universidad Carlos III de Madrid
    info

    Universidad Carlos III de Madrid

    Madrid, España

    ROR https://ror.org/03ths8210

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Linear Algebra and Its Applications

ISSN: 0024-3795

Year of publication: 2012

Volume: 438

Issue: 3

Pages: 1229-1239

Type: Article

DOI: 10.1016/J.LAA.2012.08.034 SCOPUS: 2-s2.0-84870353872 WoS: WOS:000312610800019 GOOGLE SCHOLAR

More publications in: Linear Algebra and Its Applications

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Abstract

The zeros of orthogonal polynomials on the real line are simple, lie in the interior of the convex hull of the support of the measure and the zeros of consecutive orthogonal polynomials interlace. We study a large class of mixed type multiple orthogonal polynomials for which similar properties hold. © 2012 Elsevier Inc. All rights reserved.