2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227227The q-classical orthogonal polynomials of the q-Hahn Tableau are characterized from their orthogonality condition and by a first and a second structure relation. Unfortunately, for the q-semiclassical orthogonal polynomials (a generalization of the classical ones) we find only in the literature the first structure relation. In this paper, a second structure relation is deduced. In particular, by means of a general finite-type relation between a q-semiclassical polynomial sequence and the sequence of its q-differences such a structure relation is obtained.Keywords: Finite-type relation; Recurrence relation; q-Polynomials; q-Semiclassical polynomialsClassical Analysis and ODEs42C05; 33C45text