University of MaraghehSahand Communications in Mathematical Analysis2322-5807Articles in Press20210609A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation24432610.22130/scma.2021.132155.841ENDeeplaiKhuranaDepartment of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.Department of Mathematics, Hans Raj Mahila Maha Vidyalya, Jalandhar-144001, Punjab, India.Raj KumarGargDepartment of Mathematics, DAV University, Jalandhar-144001, Punjab, India.0000-0001-9277-0915SarikaVermaDepartment of Mathematics, DAV University, Jalandhar-144001, Punjab, India.GangadharanMurugusundaramoorthySchool of Advanced Science,Vellore Institute of technology Deemed to be University, Vellore - 632014, India.Journal Article20200804We 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.