Riemann-Hilbert problem associated with Angelesco systems

被引：1

作者：

Branquinho, A. ^{[1
]}

Fidalgo, U. ^{[2
]}

Moreno, A. Foulquie ^{[3
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[2] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain

[3] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 03期

关键词：

Approximation by rational function; Rate of convergence; Simultaneous approximation; ORTHOGONAL POLYNOMIALS; STRONG ASYMPTOTICS;

D O I：

10.1016/j.cam.2009.02.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multi pie orthogonal polynomials are found as well as the Szego-type functions. In the procedure, an approach from the Riemann-Hilbert problem plays a fundamental role. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：643 / 651

页数：9

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