On the Uvarov Modification of Two Variable Orthogonal Polynomials on the Disk

被引：0
|
作者：
Antonia M. Delgado
Lidia Fernández
Teresa E. Pérez
Miguel A. Piñar
机构：
[1] Universidad de Granada,Departamento de Matemática Aplicada
[2] Universidad de Granada,Departamento de Matemática Aplicada, Instituto Carlos I de Física Teórica y Computacional
来源：
Complex Analysis and Operator Theory | 2012年 / 6卷
关键词：
Bivariate orthogonal polynomials; Orthogonal polynomials on the unit disk; Uvarov modification of a measure; Asymptotics;
D O I：
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学科分类号：
摘要：
We present a Uvarov modification of the two variable classical measure on the unit disk by adding a finite set of equally spaced mass points on the border. In such a case, both orthogonal polynomials and reproducing kernels associated with this new measure can be explicitly expressed in terms of those corresponding with the classical one. Then, asymptotics of kernel functions are studied.
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页码：665 / 676
页数：11
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