Second order q-difference equations solvable by factorization method
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
By solving an infinite nonlinear system of -difference equations one constructs a chain of -difference operators. The eigenproblems for the chain are solved and some applications, including the one related to -Hahn orthogonal polynomials, are discussed. It is shown that in the limit q->1 the present method corresponds to the one developed by Infeld and Hull.
Cite
@article{arxiv.math-ph/0312057,
title = {Second order q-difference equations solvable by factorization method},
author = {Alina Dobrogowska and Anatol Odzijewicz},
journal= {arXiv preprint arXiv:math-ph/0312057},
year = {2007}
}
Comments
21 pages