A 'missing' family of classical orthogonal polynomials

被引：561

作者：

Vinet, Luc ^{[1
]}

Zhedanov, Alexei ^{[2
]}

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[2] Donetsk Inst Phys & Technol, UA-83114 Donetsk, Ukraine

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 08期

关键词：

TRANSFORMATIONS;

D O I：

10.1088/1751-8113/44/8/085201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a family of 'classical' orthogonal polynomials which satisfy (apart from a three-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl type. These polynomials can be obtained from the little q-Jacobi polynomials in the limit q = -1. We also show that these polynomials provide a nontrivial realization of the Askey-Wilson algebra for q = -1.

引用

页数：16

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