Marcellán Español, Francisco JoséSfaxi, Ridha2009-12-032009-12-032007-03-15Journal of Computational and Applied Mathematics, 2007, vol. 200, n. 2, p. 537-5540377-0427https://hdl.handle.net/10016/593218 pages, no figures.-- MSC2000 codes: 42C05; 33C45.MR#: MR2289233 (2009a:33013)Zbl#: Zbl 1125.33008Classical orthogonal polynomials are characterized from their orthogonality and by a first or second structure relation. For the semiclassical orthogonal polynomials (a generalization of the classical ones), we find only the first structure relation in the literature. In this paper, we establish a second structure relation. In particular, we deduce it by means of a general finite-type relation between a semiclassical polynomial sequence and the sequence of its monic derivatives.application/pdfeng© ElsevierFinite-type relationRecurrence relationsOrthogonal polynomialsSemiclassical linear functionalsresearch articleMatemáticas10.1016/j.cam.2006.01.007open access