Geodesic
Factorization of the hypergeometric-type difference equation on the uniform lattice
Electronic transactions on numerical analysis, Tome 27 (2007), pp. 34-50.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     title = {Factorization of the hypergeometric-type difference equation on the uniform lattice},
     journal = {Electronic transactions on numerical analysis},
     pages = {34--50},
     publisher = {mathdoc},
     volume = {27},
     year = {2007},
     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/