Monotonicity of zeros of Laguerre polynomials
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
20/05/2014
20/05/2014
01/12/2009
|
| Resumo |
Denote by X(nk)(alpha), k = 1, ..., n, the zeros of the Laguerre polynomial L(n)((alpha))(X). We establish monotonicity with respect to the parameter at of certain functions involving X(nk)(alpha). As a consequence we obtain sharp upper bounds for the largest zero of L(n)((alpha))(X). (C) 2009 Elsevier B.V. All rights reserved. |
| Formato |
699-702 |
| Identificador |
http://dx.doi.org/10.1016/j.cam.2009.02.038 Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 233, n. 3, p. 699-702, 2009. 0377-0427 http://hdl.handle.net/11449/21754 10.1016/j.cam.2009.02.038 WOS:000271346000015 |
| Idioma(s) |
eng |
| Publicador |
Elsevier B.V. |
| Relação |
Journal of Computational and Applied Mathematics |
| Direitos |
closedAccess |
| Palavras-Chave | #Zeros #Laguerre polynomial #Monotonicity |
| Tipo |
info:eu-repo/semantics/article |
