Szego polynomials: some relations to L-orthogonal and orthogonal polynomials

Bracciali, Cleonice Fátima [UNESP]da Silva, A. P.Ranga, A. S.2014-05-202014-05-202003-04-01Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 153, n. 1-2, p. 79-88, 2003.0377-0427http://hdl.handle.net/11449/31901We consider the real Szego polynomials and obtain some relations to certain self inversive orthogonal L-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on real intervals. We also consider the polynomials obtained when the coefficients in the recurrence relations satisfied by the self inversive orthogonal L-polynomials are rotated. (C) 2002 Elsevier B.V. B.V. All rights reserved.79-88engSzego polynomialschain sequencesThree term recurrence relationsSzego polynomials: some relations to L-orthogonal and orthogonal polynomialsArtigo10.1016/S0377-0427(02)00605-2WOS:000181888700008Acesso abertoWOS000181888700008.pdf830032245262246735871233097456100000-0002-6823-4204