International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 5, Pages 305-310
doi:10.1155/S0161171201004781

On certain analytic univalent functions

B. A. Frasin and M. Darus

School of Mathematical Sciences, Faculty of Sciences and Technology, UKM, Bangi, Selangor 43600, Malaysia

Received 10 March 2000

Copyright © 2001 B. A. Frasin and M. Darus. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of order α in the open unit disk.