Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials (Q5946607)

Using relations between \(P_n\), \(P_n^{[\mu]}\), \(P_n^{(1)}\) and the fourth-order \(q\)-difference equation satisfied by the associated orthogonal polynomials of the Laguerre-Hahn class, the factorized form of the fourth-order \(q\)-difference equation satisfied by the co-recursive of all \(q\)-classical orthogonal polynomials is derived. Particular situations are also described.