Otro
Monotonicity of zeros of Laguerre polynomials
Registro en:
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 233, n. 3, p. 699-702, 2009.
0377-0427
10.1016/j.cam.2009.02.038
WOS:000271346000015
Autor
Dimitrov, Dimitar Kolev
Rafaeli, Fernando R.
Resumen
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.