On the hadamard products of Schlicht functions and applications

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.

Keywords

• Hadamard products
• schlicht functions
• and starlike
• convex
• close-to-convex and strongly starlike with respect to symmetric points.