Certain properties of a subclass of harmonic convex functions  of complex order defined by Multiplier transformations

K. Thilagavathia and K. Vijayaa,* and N. Magesh b

Certain properties of a subclass of harmonic convex functions of complex order defined by Multiplier transformations

Authors :

K. Thilagavathi^aand K. Vijaya^a,*and N. Magesh b

Author Address :

^aDepartment of Mathematics,School of advanced Sciences, VIT University, Vellore-632014, Tamil Nadu, India.
^bP.G. and Research Department of Mathematics, Govt Arts College(Men), Krishnagiri - 635 001, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we investigate some properties of harmonic univalent functions of complex order using multiplier transformation.Such as Coefficient bounds, extreme points, distortion bounds, convolution conditions and convex combination are determined for functions in this family. Further, we obtain the closure property of this class under integral operator. Consequently, many of our results are either extensions or new approaches to those corresponding to previously known results.

Keywords :

Harmonic functions, analytic functions, univalent functions, starlike functions of complex order,Multiplier transformation.

DOI :

Article Info :

Received : October 10, 2015; Accepted : April 23, 2016.