On a certain class of harmonic univalent functions defined by fractional calculus

Abstract

The purpose of the present paper is to study a new subclass of harmonic univalent functions by using fractional calculus operator. We obtain coefficient conditions, extreme points, distortion bounds and radius of convexity for this class. We also show that the class studied in this paper is closed under convolution and convex combination and discuss a class preserving integral operator. The results obtained for this class reduce to the corresponding results for several known classes in the literature are briefly indicated.