Basic hypergeometric polynomials with zeros on the unit circle

Area, I.; Godoy, E.; Lamblem, R. L.; Ranga, A. Sri

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/112916

Title:

Basic hypergeometric polynomials with zeros on the unit circle

Author(s):

Institution:

Univ Vigo
Universidade Estadual de Mato Grosso do Sul (UEMS)
Universidade Estadual Paulista (UNESP)

ISSN:

0096-3003

Sponsorship:

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Ministerio de Ciencia e Innovacion of Spain
European Community
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
DGU(Spain)

Sponsorship Process Number:

Ministerio de Ciencia e Innovacion of SpainMTM2009-14668-C02-01
Ministerio de Ciencia e Innovacion of SpainMTM2012-38794-C02-01

Abstract:

The objective in this manuscript is to present two specific sequences of polynomials with elements given in terms of basic hypergeometric polynomials or q-hypergeometric polynomials. It is shown that the zeros of these polynomials are simple and that they lie exactly on the unit circle. (C) 2013 Elsevier Inc. All rights reserved.

Issue Date:

1-Dec-2013

Citation:

Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 225, p. 622-630, 2013.

Time Duration:

622-630

Publisher:

Elsevier B.V.

Keywords:

Basic hypergeometric polynomials
Zeros
Orthogonal polynomials on the unit circle
Self-inversive polynomials

Source:

http://dx.doi.org/10.1016/j.amc.2013.09.060

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/112916

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