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Palindromic polynomials with only real zeros

Grant number: 14/06785-2
Support Opportunities:Scholarships in Brazil - Master
Start date: August 01, 2014
End date: July 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Vanessa Avansini Botta Pirani
Grantee:Eloiza do Nascimento Fazinazzo
Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

The main purpose of this research project is to obtain a complete characterization of the palindromic polynomials that have only real zeros, by classical results of analysis, such as Hermite's Theorem and Descartes' Rule of Signs. This issue is little explored in the literature and the development of this project will contribute to advances in the field of zeros of polynomials. (AU)

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
FAZINAZZO, Eloiza Do Nascimento. Palindromic Polynomials with only Real Zeros. 2016. Master's Dissertation - Universidade Estadual Paulista (Unesp). Faculdade de Ciências e Tecnologia. Presidente Prudente Presidente Prudente.