Monotonicity of the zeros of orthogonal polynomials through related measures

da Silva, A. P.; Ranga, A. S.; Vazquez, T. G.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/33745

Title:

Monotonicity of the zeros of orthogonal polynomials through related measures

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)

ISSN:

0022-247X

Abstract:

Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the monotonicity properties of the zeros of generalized orthogonal polynomials. As examples, the Jacobi, Laguerre and Charlier polynomials are considered. (c) 2005 Elsevier B.V. All rights reserved.

Issue Date:

15-Jul-2005

Citation:

Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005.

Time Duration:

699-709

Publisher:

Elsevier B.V.

Keywords:

Orthogonal polynomials
related measures
Three term recurrence relations

Source:

http://dx.doi.org/10.1016/j.jmaa.2005.03.028

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/33745

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