Some Inequalities Concerning Power Series and Their Interaction With Univalent Function Theory

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Ibrahim, Alawiah (2014) Some Inequalities Concerning Power Series and Their Interaction With Univalent Function Theory. PhD thesis, Victoria University.

Abstract

Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a major part in Complex Analysis. The purpose of this dissertation is to employ analytic functions defined by power series in two different directions. The first of these discussed in Part I, mainly contributes to Analytic Inequalities in Real and Complex Analysis, while the second direction discussed in Part II, deals with Analytic and Univalent Function Theory.

Item type Thesis (PhD thesis)
URI https://vuir.vu.edu.au/id/eprint/25359
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Current > Division/Research > College of Science and Engineering
Keywords inequality, geometry, coefficients, analytic functions, univalent functions, open disk, unit disk
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