Artigo
Basic hypergeometric polynomials with zeros on the unit circle
Registro en:
Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 225, p. 622-630, 2013.
0096-3003
10.1016/j.amc.2013.09.060
WOS:000327765600054
3587123309745610
Autor
Area, I.
Godoy, E.
Lamblem, R. L.
Ranga, A. Sri [UNESP]
Resumen
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. 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) Univ Vigo, Dept Matemat Aplicada 2, EE Ind, Vigo 36310, Spain Univ Estadual Mato Grosso do Sul, Unidade Cassiiandia, BR-79540000 Cassilandia, MS, Brazil UNESP Univ Estadual Paulista, Dept Matemat Aplicada IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil UNESP Univ Estadual Paulista, Dept Matemat Aplicada IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil Ministerio de Ciencia e Innovacion of SpainMTM2009-14668-C02-01 Ministerio de Ciencia e Innovacion of SpainMTM2012-38794-C02-01