Title of article :
A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
Author/Authors :
Khurana ، Deepali Department of Mathematics - Hans Raj Mahila Maha Vidyalya , Kumar ، Raj Department of Mathematics - DAV University , Verma ، Sarika Department of Mathematics - DAV University , Murugusundaramoorthy ، Gangadharan School of Advanced Science - Vellore Institute of technology Deemed to be University
Abstract :
We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.
Keywords :
Harmonic mapping , Convolution , Bernardi operator , Coefficient conditions , Extreme points
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
