Document Type : Research Paper
Authors
- Deeplai Khurana ^{} ^{1}^{, 2}
- Raj Kumar Garg ^{} ^{} ^{3}
- Sarika Verma ^{3}
- Gangadharan Murugusundaramoorthy ^{} ^{4}
^{1} Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.
^{2} Department of Mathematics, Hans Raj Mahila Maha Vidyalya, Jalandhar-144001, Punjab, India.
^{3} Department of Mathematics, DAV University, Jalandhar-144001, Punjab, India.
^{4} School of Advanced Science,Vellore Institute of technology Deemed to be University, Vellore - 632014, India.
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
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