%0 Journal Article
%T A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Khurana, Deeplai
%A Garg, Raj Kumar
%A Verma, Sarika
%A Murugusundaramoorthy, Gangadharan
%D 2021
%\ 08/01/2021
%V 18
%N 3
%P 27-39
%! A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
%K Harmonic mapping
%K Convolution
%K Bernardi operator
%K Coefficient conditions
%K Extreme points
%R 10.22130/scma.2021.132155.841
%X 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.
%U https://scma.maragheh.ac.ir/article_244326_f0cd2e036d7c32a04d70ef058590514a.pdf