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
Pages
12
From page
155
To page
166
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
Serial Year
2018
Record number
2581757
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