Second order q-difference equations solvable by factorization method

被引：78

作者：

Dobrogowska, Alina ^{[1
]}

Odzijewicz, Anatol ^{[1
]}

机构：

[1] Univ Bialystok, Inst Math, PL-15424 Bialystok, Poland

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 193卷 / 01期

关键词：

q-difference equations; factorization method; discretization;

D O I：

10.1016/j.cam.2005.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By solving an infinite nonlinear system of q-difference equations one constructs a chain of q-difference operators. The eigenproblems for the chain are solved and some applications, including the one related to q-Hahn orthogonal polynomials, are discussed. It is shown that in the limit q -> 1 the present method corresponds to the one developed by Infeld and Hull. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：319 / 346

页数：28

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