A free boundary problem in potential theory and singularity distribution of soluti...
Location of zeros of polynomials in the unit disc: problems and challenges
A study on the number of zeros of a polynomial in the real line
Grant number: | 19/07440-2 |
Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
Start date: | September 01, 2019 |
End date: | January 31, 2020 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal Investigator: | Vanessa Avansini Botta Pirani |
Grantee: | Leonardo Vidal Rosa |
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 project is a study of classic results on the location of zeros of polynomials, focusing on those that determine circles or rings in the complex plane where all zeros are located. However, it is intended to make a comparison between some of the most famous results in the literature (such as Eneström-Kakeya's Theorem, Cauchy's Theorem and Pellet's Theorem, among others), in order to determine which results are more accurate for certain classes of polynomials when a comparison is possible. | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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