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 — 5569Abstract
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}, }