Monotonicity of zeros of Laguerre polynomials

Dimitrov, Dimitar Kolev; Rafaeli, Fernando R.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21754

Title:

Monotonicity of zeros of Laguerre polynomials

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

0377-0427

Abstract:

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.

Issue Date:

1-Dec-2009

Citation:

Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 233, n. 3, p. 699-702, 2009.

Time Duration:

699-702

Publisher:

Elsevier B.V.

Keywords:

Zeros
Laguerre polynomial
Monotonicity

Source:

http://dx.doi.org/10.1016/j.cam.2009.02.038

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/21754

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