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

Details Factorizacion of the hypergeometric-type difference equation on the uniform lattice Factorizacion of the hypergeometric-type difference equation on the uniform lattice

2010-03-25

arxiv.org/abs/1003.4784v1

Electron. Trans. Numer. Anal. 27 (2007), 34--50

Mathematics

Classical Analysis and ODEs

18 pages, 1 table

Scientific paper

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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