Monotonicity of the zeros of orthogonal polynomials through related measures
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
20/05/2014
20/05/2014
15/07/2005
|
| Resumo |
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. |
| Formato |
699-709 |
| Identificador |
http://dx.doi.org/10.1016/j.jmaa.2005.03.028 Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005. 0022-247X http://hdl.handle.net/11449/33745 10.1016/j.jmaa.2005.03.028 WOS:000229724700023 WOS000229724700023.pdf |
| Idioma(s) |
eng |
| Publicador |
Elsevier B.V. |
| Relação |
Journal of Mathematical Analysis and Applications |
| Direitos |
openAccess |
| Palavras-Chave | #Orthogonal polynomials #related measures #Three term recurrence relations |
| Tipo |
info:eu-repo/semantics/article |
