Geodesic
Factorization of the hypergeometric-type difference equation on the uniform lattice
Electronic transactions on numerical analysis, Tome 27 (2007), pp. 34-50
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.
Classification : 33C45, 33C90, 39A13
Keywords: discrete polynomials, factorization method, discrete oscillators 
@article{ETNA_2007__27__a9,
     author = {\'Alvarez-Nodarse,  R. and Atakishiyev,  N.M. and Costas-Santos,  R.S.},
     title = {Factorization of the hypergeometric-type difference equation on the uniform lattice},
     journal = {Electronic transactions on numerical analysis},
     pages = {34--50},
     year = {2007},
     volume = {27},
     zbl = {1176.33008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__27__a9/}
}
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Álvarez-Nodarse,  R.; Atakishiyev,  N.M.; Costas-Santos,  R.S. Factorization of the hypergeometric-type difference equation on the uniform lattice. Electronic transactions on numerical analysis, Tome 27 (2007), pp. 34-50. http://geodesic.mathdoc.fr/item/ETNA_2007__27__a9/