Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros
- Fidalgo, U. 1
- Peralta, S.M. 1
- Ceniceros, J.M. 2
-
1
Universidad Carlos III de Madrid
info
-
2
Universidad de La Rioja
info
ISSN: 0024-3795
Any de publicació: 2012
Volum: 438
Número: 3
Pàgines: 1229-1239
Tipus: Article
Altres publicacions en: Linear Algebra and Its Applications
Projectes relacionats
Resum
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.