Copyright © 1987 M. K. Aouf. 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.
Let denote the class of functions , , analytic in the unit disc . For arbitrary fixed numbers , , , and , denote by the class of functions analytic in such that if and only if , , . Moreover, let denote the class of functions analytic in and satisfying the condition that if and only if for some and all in .
In this paper we determine the bounds for and in , we investigate the coefficient estimates for functions of the class and we study some properties of the class .