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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Some properties of classes of real self-reciprocal polynomials

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Author(s):
Botta, Vanessa [1] ; Bracciali, Cleonice F. [2] ; Pereira, Junior A. [3]
Total Authors: 3
Affiliation:
[1] UNESP Univ Estadual Paulista, FCT, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP - Brazil
[2] UNESP Univ Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[3] UNESP Univ Estadual Paulista, FCT, Programa Posgrad Matemat Aplicada & Computac, BR-19060900 Presidente Prudente, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 433, n. 2, p. 1290-1304, JAN 15 2016.
Web of Science Citations: 0
Abstract

The purpose of this paper is twofold. Firstly we investigate the distribution, simplicity and monotonicity of the zeros around the unit circle and real line of the real self-reciprocal polynomials R-n((lambda)) = 1+lambda(z + z(2) +...+ z(n-1)) +z(n), n >= 2 and lambda is an element of R. Secondly, as an application of the first results we give necessary and sufficient conditions to guarantee that all zeros of the self-reciprocal polynomials {[}GRAPHICS] {[}GRAPHICS] {[}GRAPHICS] given by Kim and Park in 2008. (C) 2015 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 14/22571-2 - Orthogonal and Similar Polynomials with some analytical and numerical applications
Grantee:Cleonice Fátima Bracciali
Support Opportunities: Regular Research Grants
FAPESP's process: 13/08012-8 - Location of zeros of polynomials in the unit disc: problems and challenges
Grantee:Vanessa Avansini Botta Pirani
Support Opportunities: Regular Research Grants