Szego type polynomials and para-orthogonal polynomials

Lamblem, R. L.; McCabe, J. H.; Pinar, M. A.; Ranga, Alagacone Sri

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/40425

Title:

Szego type polynomials and para-orthogonal polynomials

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Univ St Andrews
Univ Granada

ISSN:

0022-247X

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Abstract:

Szego 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.

Issue Date:

1-Oct-2010

Citation:

Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 370, n. 1, p. 30-41, 2010.

Time Duration:

30-41

Publisher:

Academic Press Inc. Elsevier B.V.

Keywords:

Szegö polynomials
Para-orthogonal polynomials
Three term recurrence relation
Hypergeometric function

Source:

http://dx.doi.org/10.1016/j.jmaa.2010.04.066

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/40425

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