A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
عنوان مقاله: A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
شناسه ملی مقاله: JR_SCMA-18-3_002
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_SCMA-18-3_002
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Deeplai Khurana - Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.
Raj Garg - Department of Mathematics, DAV University, Jalandhar-۱۴۴۰۰۱, Punjab, India.
Sarika Verma - Department of Mathematics, DAV University, Jalandhar-۱۴۴۰۰۱, Punjab, India.
Gangadharan Murugusundaramoorthy - School of Advanced Science,Vellore Institute of technology Deemed to be University, Vellore - ۶۳۲۰۱۴, India.
خلاصه مقاله:
Deeplai Khurana - Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India.
Raj Garg - Department of Mathematics, DAV University, Jalandhar-۱۴۴۰۰۱, Punjab, India.
Sarika Verma - Department of Mathematics, DAV University, Jalandhar-۱۴۴۰۰۱, Punjab, India.
Gangadharan Murugusundaramoorthy - School of Advanced Science,Vellore Institute of technology Deemed to be University, Vellore - ۶۳۲۰۱۴, India.
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.
کلمات کلیدی: Harmonic mapping, Convolution, Bernardi operator, Coefficient conditions, Extreme points
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1275141/