Location of zeros of polynomials in the unit disc: problems and challenges
On the use of descartes' rule of signs in financial Mathematics
A study on the number of zeros of a polynomial in the real line
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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