On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials

被引：14

作者：

Atakishiyev, NM

Klimyk, AU

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca 62210, Morelos, Mexico

[2] Bogolyubov Inst Theoret Phys, UA-03143 Kiev, Ukraine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 294卷 / 01期

关键词：

duality; little q-Jacobi polynomials; big q-Jacobi polynomials; discrete orthogonality relations; Jacobi matrix;

D O I：

10.1016/j.jmaa.2004.02.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive discrete orthogonality relations for polynomials, dual to little and big q-Jacobi polynomials. This derivation essentially requires use of bases, consisting of eigenvectors of certain self-adjoint operators, which are representable by a Jacobi matrix. Recurrence relations for these polynomials are also given. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：246 / 257

页数：12

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