Multiple Meixner Polynomials on a Non-Uniform Lattice

被引：2

作者：

Arvesu, Jorge ^{[1
]}

Ramirez-Aberasturis, Andys M. ^{[1
]}

机构：

[1] Univ Carlos III Madrid, Dept Math, Avda Univ 30, Madrid 28911, Spain

来源：

MATHEMATICS | 2020年 / 8卷 / 09期

关键词：

Hermite-Pade approximation; multiple orthogonal polynomials; discrete orthogonality; recurrence relations; ORTHOGONAL POLYNOMIALS; PADE APPROXIMANTS; ASYMPTOTICS; EQUATIONS; SYSTEM;

D O I：

10.3390/math8091460

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two families of type II multiple orthogonal polynomials. Each family has orthogonality conditions with respect to a discrete vector measure. The r components of each vector measure are q-analogues of Meixner measures of the first and second kind, respectively. These polynomials have lowering and raising operators, which lead to the Rodrigues formula, difference equation of order r+1, and explicit expressions for the coefficients of recurrence relation of order r+1. Some limit relations are obtained.

引用

页数：33

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