A new approach to the asymptotics of Sobolev type orthogonal polynomials

JOURNAL OF APPROXIMATION THEORY

卷:163

Article

Alfaro, M.^1,2  Moreno-Balcazar, J. J.^3,4  Pena, A.^1,2  Rezola, M. L.^1,2 

[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

[3] Univ Almeria, Dept Estadist & Matemat Aplicada, Almeria, Spain

[4] Univ Almeria, ICI, Almeria, Spain

关键词: Laguerre and Hermite polynomials;    Asymptotics;    Mehler-Heine type formulas;    Zeros;    Bessel functions;   

DOI  :  10.1016/j.jat.2010.11.005

来源: Elsevier

【 摘 要 】

This paper deals with Mehler-Heine type asymptotic formulas for the so-called discrete Sobolev orthogonal polynomials whose continuous part is given by Laguerre and generalized Hermite measures. We use a new approach which allows to solve the problem when the discrete part contains an arbitrary (finite) number of mass points. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free