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Second order q-difference equations solvable by factorization method

Alina Dobrogowska·Anatol Odzijewicz
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Abstract

By 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.

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Alina Dobrogowska, Anatol Odzijewicz. 2003-12-22. Second order q-difference equations solvable by factorization method. https://arxiv.org/abs/math-ph/0312057

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