A new approach to the asymptotics of Sobolev type orthogonal polynomials

被引：9

作者：

Alfaro, M. ^{[1
,2
]}

Moreno-Balcazar, J. J. ^{[3
,4
]}

Pena, A. ^{[1
,2
]}

Rezola, M. L. ^{[1
,2
]}

机构：

[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

来源：

JOURNAL OF APPROXIMATION THEORY | 2011年 / 163卷 / 04期

关键词：

Laguerre and Hermite polynomials; Asymptotics; Mehler-Heine type formulas; Zeros; Bessel functions; JACOBI-POLYNOMIALS; PARAMETERS; ZEROS;

D O I：

10.1016/j.jat.2010.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：460 / 480

页数：21

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