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

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 funct...

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Main Author:	Chung, Yao Liang
Format:	Thesis
Language:	English
Published:	2017
Subjects:	QA1-939 Mathematics
Online Access:	http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf
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id	my-usm-ep.45374
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spelling	my-usm-ep.453742019-09-11T01:03:55Z Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions 2017-02 Chung, Yao Liang QA1-939 Mathematics 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. 2017-02 Thesis http://eprints.usm.my/45374/ http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf application/pdf en public masters Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1-939 Mathematics
spellingShingle	QA1-939 Mathematics Chung, Yao Liang Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
description	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.
format	Thesis
qualification_level	Master's degree
author	Chung, Yao Liang
author_facet	Chung, Yao Liang
author_sort	Chung, Yao Liang
title	Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
title_short	Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
title_full	Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
title_fullStr	Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
title_full_unstemmed	Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions
title_sort	starlikeness of certain integral operators and properties of a subclass of close to convex functions
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2017
url	http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf
_version_	1747821496965791744

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

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