2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57607By solving an infinite nonlinear system of $q$-difference equations one constructs a chain of $q$-difference operators. The eigenproblems for the chain are solved and some applications, including the one related to $q$-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 pagesMathematical Physicstext