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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/723097 |
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| _version_ | 1832556393034416128 |
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| author | R. Chandrashekar Rosihan M. Ali K. G. Subramanian A. Swaminathan |
| author_facet | R. Chandrashekar Rosihan M. Ali K. G. Subramanian A. Swaminathan |
| author_sort | R. Chandrashekar |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-73dabee57eea4bd7b9d408f1ce808330 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-73dabee57eea4bd7b9d408f1ce8083302025-02-03T05:45:29ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/723097 |
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