Artículos de revistas
Monotonicity of the zeros of orthogonal polynomials through related measures
Fecha
2005-07-15Registro en:
Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005.
0022-247X
10.1016/j.jmaa.2005.03.028
WOS:000229724700023
WOS000229724700023.pdf
3587123309745610
Autor
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
Institución
Resumen
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.