Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions

Chung, Yao Liang (2017) Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions. Masters thesis, Universiti Sains Malaysia.

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Abstract

The present dissertation investigates the sufficient conditions for an analytic function to be starlike in the open unit disk D and some properties of certain subclass of close-to-convex functions. A brief survey of the basic concepts and results from the classical theory of analytic univalent functions are given. Sufficient conditions for analytic functions satisfying certain third-order differential inequalities to be starlike in D is derived. As a consequence, conditions for starlikeness of functions defined by triple integral operators are obtained. Connections are also made to earlier known results.

Item Type: Thesis (Masters)
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis
Depositing User: ASM Ab Shukor Mustapa
Date Deposited: 11 Sep 2019 01:03
Last Modified: 11 Sep 2019 01:03
URI: http://eprints.usm.my/id/eprint/45374

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