Orthogonal polynomials of two discrete variables on the simplex

被引：17

作者：

Rodal, J ^{[1
]}

Area, I ^{[1
]}

Godoy, E ^{[1
]}

机构：

[1] Univ Vigo, ETSE Telecommun, Dept Matemat Aplicada 2, Vigo 36200, Spain

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 03期

关键词：

multivariable orthogonal polynomials;

D O I：

10.1080/1065246042000272036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a method for constructing families of orthogonal polynomials of two discrete variables on the triangle is presented. Some examples. related with Hahn, Meixner, Kravchuk and Charlier polynomials, are discussed in detail, giving recurrence relation in vector-matrix form for the orthonormal families. partial difference equation, limit relations between them. as well as forward and backward structure relations. Finally. as a limit case of Hahn polynomials of two variables we recover the Jacobi polynomials of two variables on the triangle.

引用

页码：263 / 280

页数：18

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