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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
http://eprints.usm.my/45374/
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spelling my.usm.eprints.45374 http://eprints.usm.my/45374/ Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions 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 NonPeerReviewed application/pdf en http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf Chung, Yao Liang (2017) Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions. Masters thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
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
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
publishDate 2017
url http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf
http://eprints.usm.my/45374/
_version_ 1646011334175752192
score 13.211869

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