Some systems of multivariable orthogonal q-Racah polynomials

被引：74

作者：

Gasper, George ^{[1
]}

Rahman, Mizan

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

RAMANUJAN JOURNAL | 2007年 / 13卷 / 1-3期

关键词：

multivariable discrete orthogonal polynomials; multivariable basic hypergeometric orthogonal polynomials; several variables; multivariable q-Racah; q-Hahn; dual q-Hahn; q-Krawtchouk; q-Meixner; q-Charlier polynomials;

D O I：

10.1007/s11139-006-0259-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of multivariable orthogonal q-Racah polynomials, from which systems of multivariable orthogonal q-Hahn, dual q-Hahn, q-Krawtchouk, q-Meixner, and q-Charlier polynomials follow as special or limit cases.

引用

页码：389 / 405

页数：17

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