Asymptotics and Zeros of Sobolev Orthogonal Polynomials on Unbounded Supports

被引：0
|
作者：
Francisco Marcellán
Juan José Moreno Balcázar
机构：
[1] Universidad Carlos III de Madrid,Departamento de Matemáticas
[2] Universidad de Almería,Departamento de Estadística y Matemática Aplicada
[3] Universidad de Granada,Instituto Carlos I de Física Teórica y Computacional
来源：
Acta Applicandae Mathematica | 2006年 / 94卷
关键词：
Sobolev orthogonal polynomials; asymptotics; zeros; Primary 42C05; Secondary 33C45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we present a survey about analytic properties of polynomials orthogonal with respect to a weighted Sobolev inner product such that the vector of measures has an unbounded support. In particular, we focus on the asymptotic behaviour of such polynomials as well as in the distribution of their zeros. Some open problems as well as some directions for future research are formulated.
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页码：163 / 192
页数：29
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