Artículos de revistas
A note on monotonicity of zeros of generalized Hermite-Sobolev-type orthogonal polynomials
Registro en:
Integral Transforms And Special Functions. Taylor & Francis Ltd, v. 21, n. 11, n. 831, n. 838, 2010.
1065-2469
WOS:000283557100004
10.1080/10652461003714718
Autor
Marcellan, F
Rafaeli, FR
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this paper, we analyse a Mehler-Heine formula and the behaviour of zeros of orthogonal polynomials associated with a symmetrization process of Laguerre-Sobolev-type orthogonal polynomials. More precisely, the limit of these zeros, their monotonicity as well as their dependence of the masses are obtained. In such a way, we obtain a natural generalization of the results given in Alfaro et al. [Asymptotic for a generalization of Hermite polynomials, Asympt. Anal. 66 (2010), pp. 103-117]. 21 11 831 838 Direccion General de Investigacion, Ministerio de Ciencia e Innovacion of Spain [MTM2009-12740-C03-01] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Direccion General de Investigacion, Ministerio de Ciencia e Innovacion of Spain [MTM2009-12740-C03-01]