Title Factorization of the hypergeometric-type difference equation on the uniform lattice
Authors Alvarez-Nodarse, R. , Atakishiyev, N. M. , COSTAS SANTOS, ROBERTO SANTIAGO
External publication Si
Means Electron. Trans. Numer. Anal.
Scope Article
Nature Científica
JCR Quartile 3
SJR Quartile 3
JCR Impact 0.48600
SJR Impact 0.46600
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-37649002621&partnerID=40&md5=c7d915f55a62f4c9e7362f3cd68e2c62
Publication date 01/01/2007
ISI 000252984700005
Scopus Id 2-s2.0-37649002621
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 discrete polynomials; factorization method; discrete oscillators
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