Costas-Santos, R. S.Marcellán Español, Francisco José2009-12-022009-12-022007-05-01Journal of Mathematical Analysis and Applications, 2007, vol. 329, n. 1, p. 206-2280022-247Xhttps://hdl.handle.net/10016/592423 pages, no figures.MR#: MR2306798 (2009c:33042)Zbl#: Zbl 1113.33022The 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.application/pdfeng© ElsevierFinite-type relationRecurrence relationq-Polynomialsq-Semiclassical polynomialsresearch articleMatemáticas10.1016/j.jmaa.2006.06.036open access