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.

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},
}