Factorizacion of the hypergeometric-type difference equation on the uniform lattice
Classical Analysis and ODEs
2010-03-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1003.4784,
title = {Factorizacion of the hypergeometric-type difference equation on the uniform lattice},
author = {R. Álvarez-Nodarse and N. M. Atakishiyev and R. S. Costas-Santos},
journal= {arXiv preprint arXiv:1003.4784},
year = {2010}
}
Comments
18 pages, 1 table