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...
| 主要作者: | |
|---|---|
| 格式: | Thesis |
| 語言: | 英语 |
| 出版: |
2017
|
| 主題: | |
| 在線閱讀: | http://eprints.usm.my/45374/ |
| 總結: | 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. |
|---|