Complex versus real orthogonal polynomials of two variables

被引：7

作者：

Xu, Yuan ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 02期

基金：

美国国家科学基金会;

关键词：

33C50; 33C45; disk polynomials; orthogonal polynomials of two variables; several variables; complex Hermite; complex orthogonal polynomials;

D O I：

10.1080/10652469.2014.973196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Orthogonal polynomials of two real variables can often be represented in complex variables. We explore the connection between the two types of representations and study the structural relations of complex orthogonal polynomials. The complex Hermite orthogonal polynomials and the disk polynomials are used as illustrating examples.

引用

页码：134 / 151

页数：18

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