Basic hypergeometric polynomials with zeros on the unit circle
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Data
2013-12-01
Autores
Area, I.
Godoy, E.
Lamblem, R. L.
Ranga, A. Sri [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
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.
Descrição
Palavras-chave
Basic hypergeometric polynomials, Zeros, Orthogonal polynomials on the unit circle, Self-inversive polynomials
Como citar
Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 225, p. 622-630, 2013.