Publication:
Basic hypergeometric polynomials with zeros on the unit circle

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Date

2013-12-01

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Elsevier B.V.

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Article

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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.

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Keywords

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

Language

English

Citation

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

URI

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

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

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