International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 1, Pages 173-177
doi:10.1155/S0161171285000163
On the Hadamard products of schlicht functions and applications
H.S. Al-Amiri
Department of Mathematics, Bowling Green State University, Bowling Green 43403, Ohio, USA
Abstract
We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions. The influence of certain operators over these classes is also investigated.