Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros
- Fidalgo, U. 1
- Peralta, S.M. 1
- Ceniceros, J.M. 2
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1
Universidad Carlos III de Madrid
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2
Universidad de La Rioja
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ISSN: 0024-3795
Datum der Publikation: 2012
Ausgabe: 438
Nummer: 3
Seiten: 1229-1239
Art: Artikel
Andere Publikationen in: Linear Algebra and Its Applications
Projekte im Zusammenhang
Zusammenfassung
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.