Title of article :
NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR
Author/Authors :
MUGE SAKAR, F Batman University - Faculty of Management and Economics - Department of Business Administration - Batman, Turkey , BAGCI, YASEMIN Batman University - Institute of Science - Master’s Degree in Mathematics - Batman, Turkey , OZLEM G˝UNEY, H Dicle University - Faculty of Science - Department of Mathematics - Diyarbakır, Turkey
Abstract :
In the present study, we introduce an investigation of new subclasses of harmonic functions which are defined by fractional operator. Firstly, using by fractional
operator, we define new subclasses of harmonic functions. Later, we obtain main theorems of our study which contain sufficient and necessary coefficient bounds for functions
related to the classes newly defined. Also, several particular characterization properties 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.
Keywords :
Harmonic functions , fractional operator , coefficient estimates , univalent
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
