Paper: Factorization method for difference equations of hypergeometric type on nonuniform lattices

Factorization method for difference equations of hypergeometric type on nonuniform lattices

Álvarez-Nodarse, Renato and Costas-Santos, Roberto S. Journal of Physics A: Mathematical and General volume 34, no. 27 (2001), 5551 — 5569

Abstract

We study the factorization of the hypergeometric-type difference equation of Nikiforov and Uvarov on nonuniform lattices. An explicit form of the raising and lowering operators is derived and some relevant examples are given.

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BibTeX

@article {MR1856663,
AUTHOR={\'{A}lvarez-Nodarse, R. and Costas-Santos, R. S.},
TITLE={Factorization method for difference equations of hypergeometric type on nonuniform lattices},
JOURNAL={J. Phys. A},
FJOURNAL={Journal of Physics A. Mathematical and General},
VOLUME={34},
YEAR={2001},
NUMBER={27},
PAGES={5551--5569},
ISSN={0305-4470},
MRCLASS={39A13 (33C45 33D45)},
MRNUMBER={1856663},
ZBL={0994.39001},
MRREVIEWER={A. M. Gavrilik},
DOI={10.1088/0305-4470/34/27/306},
URL={https://doi.org/10.1088/0305-4470/34/27/306},
}