Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators

Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators

Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connection...

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Main Authors: R. Chandrashekar, Rosihan M. Ali, K. G. Subramanian, A. Swaminathan
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/723097
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spelling doaj-73dabee57eea4bd7b9d408f1ce8083302020-11-24T23:33:59ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/723097723097Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral OperatorsR. Chandrashekar0Rosihan M. Ali1K. G. Subramanian2A. Swaminathan3Department of Technology Management, Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaSchool of Computer Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaDepartment of Mathematics, I.I.T. Roorkee, Roorkee 247667, IndiaSufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connections are also made to earlier known results.http://dx.doi.org/10.1155/2014/723097
collection DOAJ
language English
format Article
sources DOAJ
author R. Chandrashekar
Rosihan M. Ali
K. G. Subramanian
A. Swaminathan
spellingShingle R. Chandrashekar
Rosihan M. Ali
K. G. Subramanian
A. Swaminathan
Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
Abstract and Applied Analysis
author_facet R. Chandrashekar
Rosihan M. Ali
K. G. Subramanian
A. Swaminathan
author_sort R. Chandrashekar
title Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
title_short Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
title_full Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
title_fullStr Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
title_full_unstemmed Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
title_sort starlikeness of functions defined by third-order differential inequalities and integral operators
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connections are also made to earlier known results.
url http://dx.doi.org/10.1155/2014/723097
work_keys_str_mv AT rchandrashekar starlikenessoffunctionsdefinedbythirdorderdifferentialinequalitiesandintegraloperators
AT rosihanmali starlikenessoffunctionsdefinedbythirdorderdifferentialinequalitiesandintegraloperators
AT kgsubramanian starlikenessoffunctionsdefinedbythirdorderdifferentialinequalitiesandintegraloperators
AT aswaminathan starlikenessoffunctionsdefinedbythirdorderdifferentialinequalitiesandintegraloperators
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