NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR

In the present study, we introduce an investigation of new subclasses of har-monic functions which are defined by fractional operator. Firstly, using by fractional operator, we define new subclasses of harmonic functions. Later, we obtain main theo-rems of our study which contain su?cient and necessary coe?cient bounds for functions related to the classes newly defined. Also, several particular characterization proper-ties of these classes are given. Some of these properties involve extreme points, convex combination, distortion bounds. Finally, several corollaries of the main theorems are presented.