An operator approach to the inversion of certain Hankel matrices

被引:0
作者
Zhang, Ruiming [1 ]
Chen, Li-Chen [2 ]
机构
[1] Northwest A&F Univ, Inst Appl Math, Coll Sci, Yangling 712100, Shaanxi, Peoples R China
[2] Soochow Univ, Dept Financial Engn & Actuarial Math, Taipei 100, Taiwan
基金
中国国家自然科学基金;
关键词
Little q-Jacobi polynomials; q-Laguerre polynomials; Discrete q-Hermite polynomials II; Inverse matrices; Determinants; Kernel polynomials; Hankel matrices; Hilbert matrices;
D O I
10.1016/j.laa.2014.02.045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work we present a method to find inverses of certain Hankel matrices. These Hankel matrices are the moment matrices associated with some well-known q-orthogonal polynomials. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:70 / 80
页数:11
相关论文
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Akhiezer N. I., 1965, CLASSICAL MOMENT PRO
[2]  
[Anonymous], 2005, Classical and Quantum Orthogonal Polynomials in One Variable
[3]  
KOEKOEK R, 1998, REPORTS FACULTY TECH, V9817
[4]  
Krattenthaler C., 1999, ARXIVMATH9902004V3