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...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
2017
|
| Subjects: | |
| Online Access: | http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf |
| _version_ | 1797011364926980096 |
|---|---|
| author | Chung, Yao Liang |
| author_facet | Chung, Yao Liang |
| author_sort | Chung, Yao Liang |
| collection | USM |
| 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. |
| first_indexed | 2024-03-06T15:33:16Z |
| format | Thesis |
| id | usm.eprints-45374 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:33:16Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | usm.eprints-453742019-09-11T01:03:55Z 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. |
| spellingShingle | QA1-939 Mathematics Chung, Yao Liang Starlikeness Of Certain Integral Operators And Properties Of A Subclass Of Close To Convex Functions |
| title | 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_short | 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 |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/45374/1/CHUNG%20YAO%20LIANG.pdf |
| work_keys_str_mv | AT chungyaoliang starlikenessofcertainintegraloperatorsandpropertiesofasubclassofclosetoconvexfunctions |