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
Argitalpen urtea: 2012
Alea: 438
Zenbakia: 3
Orrialdeak: 1229-1239
Mota: Artikulua
Beste argitalpen batzuk: Linear Algebra and Its Applications
Lotura duten proiektuak
Laburpena
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.