Factorization of the hypergeometric-type difference equation on the uniform lattice

被引：0
|
作者：
Alvarez-Nodarse, R. [1 ]
Atakishiyev, N. M. [2 ]
Costas-Santos, R. S. [3 ]
机构：
[1] Univ Seville, Dept Math Anal, E-41080 Seville, Spain
[2] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca, Morelos, Mexico
[3] Univ Carlos III Madrid, Dept Matemat, E-28911 Madrid, Spain
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2007年 / 27卷
关键词：
discrete polynomials; factorization method; discrete oscillators;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss factorization of the hypergeometric-type difference equations on the uniform lattices and show how one can construct a dynamical algebra, which corresponds to each of these equations. Some examples are exhibited, in particular, we show that several models of discrete harmonic oscillators, previously considered in a number of publications, can be treated in a unified form.
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页码：34 / 50
页数：17
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