\(q\)-difference operators for orthogonal polynomials (Q1035627)

The families of orthogonal polynomials appearing as solutions of Sturm-Liouville differential equations support the operation of two adjoint linear differential operators which respectively raise and lower the degree. A similar theory has been developped for \(q\)-orthogonal polynomials and many results of the ``classical'' (differential) theory have been extended to the ``basic'' (\(q\)-analogue) theory, in particular by the authors of the paper reviewed here, which tackles indeterminate moment problems.