2010 / March Volume 5 No.1
Sharpness results of certain class of analytic functions
| Published Date |
2010 / March
|
|---|---|
| Title | Sharpness results of certain class of analytic functions |
| Author | |
| Keyword | |
| Download | |
| Pagination | 11-24 |
| Abstract | The main aim of this paper is to use the concept of finite Blaschke product to prove sharpness of some of the known results.
Geometric properties of a class of functions $\mathcal{U}(\lambda)$ were discussed in [8, 11, 12]. Also, starlikeness of $\mathcal{U}(\lambda,\mu) \cap \ \mathcal{A}_n$ for $\mu \le n$ was obtained in [9, 10]. In this paper, we prove the sharpness of those
results using the technique of R. Fournier [3] which was later revised by R. Fournier and S. Ponnusamy [5].
|
| AMS Subject Classification |
30C45
|
| Received |
2008-09-16
|
| Accepted |
2008-09-16
|