Factorization method for difference equations of hypergeometric type on nonuniform lattices

Authors
Alvarez-Nodarse, R Costas-Santos, RS
Citation
R. Alvarez-nodarse et Rs. Costas-santos, Factorization method for difference equations of hypergeometric type on nonuniform lattices, J PHYS A, 34(27), 2001, pp. 5551-5569
Citations number
32
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
27
Year of publication
2001
Pages
5551 - 5569
Database
ISI
SICI code
0305-4470(20010713)34:27<5551:FMFDEO>2.0.ZU;2-6
Abstract
We study the factorization of the hypergeometric-type difference equation o f Nikiforov and Uvarov on nonuniform lattices. An explicit form of the rais ing and lowering operators is derived and some relevant examples are given.