|
|
|
|
Volume 5, Issue 2, Article 31 |
|
|
|
|
|
|
Starlikeness and Convexity Conditions for Classes of Functions Defined by Subordination
|
|
|
Authors: |
R. Aghalary, Jay M. Jahangiri, S.R. Kulkarni, |
|
|
|
Keywords:
|
Subordination, Hadamard product, Starlike, Convex. |
|
|
|
Date Received:
|
21/05/2003 |
|
|
|
Date Accepted:
|
18/04/2004 |
|
|
|
Subject Codes: |
Primary 30C45.
|
|
|
|
Editors: |
Herb Silverman, |
|
|
|
|
|
|
|
|
|
Abstract: |
We consider the family consisting of functions analytic in the open unit disc with the normalization which have the disc formulation in Applying the subordination properties to certain choices of using the functions we obtain inclusion relations, sufficient starlikeness and convexity conditions, and coefficient bounds for functions in these classes. In some cases our results improve the corresponding results appeared in print.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|