Quasi-convolution of analytic functions with applications

Abstract

In this paper we define a new concept of quasi-convolution for analytic functions normalized by f(0) = 0 and f^' (0)=1 in the unit disk E ={z∈ C:|z|<1}. We apply this new approach to study the closure properties of a certain class of analytic and univalent functions under some families of (known and new) integral operators