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Univalent functions and polynomials: some properties and applications

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Author(s):
Vanessa Bertoni
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Alagacone Sri Ranga; Benjamin Bordin; Geraldo Márcio de Azevedo Botelho; José Alberto Cuminato; Sonia Maria Gomes
Advisor: Alagacone Sri Ranga
Abstract

The main aim of this work is the study of univalent functions and their properties. This study is focused speciall on the univalent polynomials and theinvestigation of extremal problems involving their coefficients, zeros and geometric properties. We find a very ineresting relation between univalent polynomials through a class of univalent starlike and convex functions involving their geometric properties and the location of their zeros. (AU)