| |
|
|
| |
Volume 10, Issue 2, Article 57 |
|
|
|
|
|
| |
On a Certain Subclass of Analytic Functions Involving the Al-Oboudi Differential Operator
|
| |
|
Authors: |
S. M. Khairnar, Meena More, |
|
| |
|
Keywords:
|
Close-to-convex function, Close-to-starlike function, Ruscheweyh derivative operator, Al-Oboudi differential operator and subordination relationship. |
|
| |
|
Date Received:
|
26/11/08 |
|
| |
|
Date Accepted:
|
28/05/09 |
|
| |
|
Subject Codes: |
30C45.
|
|
| |
|
Editors: |
Sever S. Dragomir, |
|
| |
|
|
|
|
|
| |
|
Abstract: |
In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and integral mean inequalities of a differential operator for this class are given. We investigate various subordination results for the subclass of analytic functions and obtain sufficient conditions for univalent close-to-starlikeness. We also discuss the boundedness properties associated with partial sums of functions in the class. Several interesting connections with the class of close-to-starlike and close-to-convex functions are also pointed out.
|
|
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
|
Home
