ON A CERTAIN CLASS OF HARMONIC UNIVALENT FUNCTIONS DEFINED BY FRACTIONAL CALCULUS

The purpose of the present paper is to study a new subclass of harmonic univalent functions by using fractional calculus operator. We obtain coecient conditions, extreme points, distortion bounds and radius of convex- ity 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 inte- gral operator. The results obtained for this class reduce to the corresponding results for several known classes in the literature are briey indicated.