Alvarez-Nodarse, R. , Atakishiyev, N. M. , COSTAS SANTOS, ROBERTO SANTIAGO
Si
Electron. Trans. Numer. Anal.
Article
Científica
0.486
0.466
01/01/2007
000252984700005
2-s2.0-37649002621
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.
discrete polynomials; factorization method; discrete oscillators