Ratio asymptotics of Hermite-Pade polynomials for Nikishin systems

被引：29

作者：

Aptekarev, AI ^{[1
]}

Lagomasino, GL

Rocha, IA

机构：

[1] RAS, MV Keldysh Appl Math Inst, Moscow, Russia

[2] Univ Carlos III Madrid, Madrid, Spain

[3] Univ Politecn Madrid, EUIT, Madrid, Spain

来源：

SBORNIK MATHEMATICS | 2005年 / 196卷 / 7-8期

关键词：

D O I：

10.1070/SM2005v196n08ABEH002329

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of ratio asymptotics is proved for a sequence of multiple orthogonal polynomials with orthogonality relations distributed among a system of m finite Borel measures with support on a bounded interval of the real line which form a so-called Nikishin system. For m = 1 this result reduces to Rakhmanov's celebrated theorem on the ratio asymptotics for orthogonal polynomials on the real line.

引用

页码：1089 / 1107

页数：19

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