Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros

被引：7

作者：

Fidalgo, U. ^{[1
]}

Medina Peralta, S. ^{[1
]}

Minguez Ceniceros, J. ^{[2
]}

机构：

[1] Univ Carlos III Madrid, Dept Math, Madrid 28911, Spain

[2] Univ La Rioja, Dept Math & Computat, Logrono 26004, La Rioja, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 03期

关键词：

Multiple orthogonal polynomials; Interlacing zeros; AT systems; NIKISHIN SYSTEMS;

D O I：

10.1016/j.laa.2012.08.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The zeros of orthogonal polynomials on the real line are simple, lie in the interior of the convex hull of the support of the measure and the zeros of consecutive orthogonal polynomials interlace. We study a large class of mixed type multiple orthogonal polynomials for which similar properties hold. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1229 / 1239

页数：11

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