Matrix-valued little q-Jacobi polynomials

被引：4
|
作者：
Aldenhoven, Noud [1 ]
Koelink, Erik [1 ]
de los Rios, Ana M. [2 ]
机构：
[1] Radboud Univ Nijmegen, IMAPP, FNWI, NL-6525 AJ Nijmegen, Netherlands
[2] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain
来源：
JOURNAL OF APPROXIMATION THEORY | 2015年 / 193卷
关键词：
Matrix-valued orthogonal polynomials; Little q-Jacobi polynomials; Matrix-valued q-difference operators; THEOREM;
D O I：
10.1016/j.jat.2014.10.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2 x 2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and their relation to matrix-valued q-hypergeometric series and the scalar-valued little q-Jacobi polynomials are presented. The study is based on a matrix-valued q-difference operator, which is a q-analogue of Tirao's matrix-valued hypergeometric differential operator. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：164 / 183
页数：20
相关论文
共 50 条
12345