Alfaro, ManuelCantero, María JoséMarcellán Español, Francisco José2009-12-112009-12-112002-09Complex Variables and Elliptic Equations, 2002, vol. 47, n. 9, p. 745-7591747-6933https://hdl.handle.net/10016/601215 pages, no figures.-- MSC2000 codes: 42C05.MR#: MR1925172 (2003g:42039)Zbl#: Zbl 1026.42026In this paper we will discuss the problem of generation of sequences of orthogonal polynomials with respect to measures supported on the unit circle from a given sequence of orthogonal polynomials using a perturbation of a cubic sieved process. The basic tools are the Szegö forward recurrence relation as well as the fact of the coprimality of orthogonal polynomials on the unit circle and their corresponding reverse polynomials. We also give the connection between the associated orthogonality measures. Finally, some examples of this cubic decomposition are shown.application/pdfeng© Taylor & FrancisOrthogonal polynomialsReflection parametersCarathéodory functionsresearch articleMatemáticas10.1080/02781070290032252open access