New classes of harmonic functions defined by fractional operator
Citation
Sakar, F. M., Bağcı, Y. & Güney, H. Ö. (2018). New classes of harmonic functions defined by fractional operator. TWMS Journal Of Applied And Engineering Mathematics, 8(1), 155-166.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.
Source
TWMS Journal Of Applied And Engineering MathematicsVolume
8Issue
1URI
https://hdl.handle.net/11729/2653http://jaem.isikun.edu.tr/web/index.php/archive/97-vol8no1/331
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