Certain Subclasses of Harmonic Univalent Functions Defined by Convolution and Subordination

摘要

Let SH be the class of functions f =h + (g) that are harmonic univalent and sensepreserving in the open unit disk U ={z ∈ C:|z| ＜ 1} for which f(0) =f'(0)-1 =0.In the present paper,we introduce some new subclasses of SH consisting of univalent and sensepreserving functions defined by convolution and subordination.Sufficient coefficient conditions,distortion bounds,extreme points and convolution properties for functions of these classes are obtained.Also,we discuss the radii of starlikeness and convexity.