Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure

被引：2
|
作者：
Gonzalez Ricardo, L. G. [1 ]
Lopez Lagomasino, G. [1 ]
机构：
[1] Univ Carlos III Madrid, Dept Math, Ave Univ 30, Madrid 28911, Spain
来源：
CONSTRUCTIVE APPROXIMATION | 2022年 / 56卷 / 03期
关键词：
Biorthogonal polynomials; Hermite-Pade approximation; Varying measures; Strong asymptotic; HERMITE-PADE APPROXIMANTS; NIKISHIN SYSTEMS; RESPECT; THEOREM; RATIO;
D O I：
10.1007/s00365-022-09580-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give the strong asymptotic of Cauchy biorthogonal polynomials under the assumption that the defining measures are supported on bounded nonintersecting intervals of the real line and satisfy Szego's condition. The biorthogonal polynomials are connected with certain mixed type Hermite-Pade polynomials, which verify full orthogonality relations with respect to certain varying measures. Thus, the strong asymptotic of orthogonal polynomials with respect to varying measures plays a key role in the study.
引用
收藏
页码：577 / 618
页数：42
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