Second order q-difference equations solvable by factorization method
arXiv:math-ph/0312057
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.
21 pages