Asymptotics of derivatives of orthogonal polynomials on the real line

被引：1

作者：

Levin, E. ^{[1
]}

Lubinsky, D. S. ^{[2
]}

机构：

[1] Open Univ, Dept Math, IL-43107 Raanana, Israel

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

ACTA MATHEMATICA HUNGARICA | 2008年 / 118卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

derivatives of orthogonal polynomials; asymptotics of orthogonal polynomials; Szego's condition;

D O I：

10.1007/s10474-007-6183-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L-2 norm.

引用

页码：115 / 127

页数：13

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