Convolutions of a subclass of harmonic univalent mappings

Abstract

The main object of this paper is to investigate the convolution of a subclass of harmonic univalent mappings which is denoted by fa and generalized harmonic univalent mapping which is denoted by Pc. We obtained Pc ∗ fa is univalent and convex in the horizantal direction for 0 < c ≤ 2(1−a)/1+a. In addition, we present an example and illustrate it graphically with the help of Maple to explain the behaviour of image domain.