Basic hypergeometric polynomials with zeros on the unit circle


Autoria(s): Area, I.; Godoy, E.; Lamblem, R. L.; Ranga, A. Sri
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

03/12/2014

03/12/2014

01/12/2013

Resumo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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.

Formato

622-630

Identificador

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

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

0096-3003

http://hdl.handle.net/11449/112916

10.1016/j.amc.2013.09.060

WOS:000327765600054

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Applied Mathematics and Computation

Direitos

closedAccess

Palavras-Chave #Basic hypergeometric polynomials #Zeros #Orthogonal polynomials on the unit circle #Self-inversive polynomials
Tipo

info:eu-repo/semantics/article