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.
Download
Link | Size | Description |
---|---|---|
paper_1.pdf | 218 KB | Preprint (PDF, 21 pages) |
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}, }