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Zeros of palindromic polynomials

Grant number: 13/10034-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): July 01, 2013
Effective date (End): June 30, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal researcher:Vanessa Avansini Botta Pirani
Grantee:Evanize Rodrigues Castro
Home Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

This research project proposes the study of the main properties of palindromic polynomials, with special attention to the behavior of the zeros of this class of polynomials. These zeros are symmetric both in relation to the real line as the unit circle. We will study recent results which establish conditions for the zeros of these polynomials are located on the unit circle and we represent graphically the results using mathematical softwares. (AU)

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