Szego type polynomials and para-orthogonal polynomials

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv St Andrews
dc.contributorUniv Granada
dc.date.accessioned2014-05-20T15:31:14Z
dc.date.available2014-05-20T15:31:14Z
dc.date.created2014-05-20T15:31:14Z
dc.date.issued2010-10-01
dc.identifierJournal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 370, n. 1, p. 30-41, 2010.
dc.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11449/40425
dc.identifier10.1016/j.jmaa.2010.04.066
dc.identifierWOS:000278397000004
dc.identifier3587123309745610
dc.description.abstractSzego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz determinants. Para-orthogonal polynomials are also studied without relying on any integral representation. Relation between the Toeplitz determinants of two different types of moment functionals are given. Starting from the existence of polynomials similar to para-orthogonal polynomials, sufficient conditions for the existence of Szego type polynomials are also given. Examples are provided to justify the results. (C) 2010 Elsevier B.V. All rights reserved.
dc.languageeng
dc.publisherAcademic Press Inc. Elsevier B.V.
dc.relationJournal of Mathematical Analysis and Applications
dc.relation1.138
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSzegö polynomials
dc.subjectPara-orthogonal polynomials
dc.subjectThree term recurrence relation
dc.subjectHypergeometric function
dc.titleSzego type polynomials and para-orthogonal polynomials
dc.typeArtículos de revistas


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