Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports

被引：38
|
作者：
Marcellan, Francisco [1 ]
Jose Moreno Balcazar, Juan
机构：
[1] Univ Carlos III Madrid, Dept Matemat, Leganes, Spain
[2] Univ Almeria, Dept Estadist & Metemat Aplicada, Almeria, Spain
[3] Univ Granada, Inst Carlos I Fis Teor & Computac, Granada, Spain
来源：
ACTA APPLICANDAE MATHEMATICAE | 2006年 / 94卷 / 02期
关键词：
Sobolev orthogonal polynomials; asymptotics; zeros;
D O I：
10.1007/s10440-006-9073-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：163 / 192
页数：30
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