A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation

被引：1

作者：

Khurana, Deepali ^{[1
,2
]}

Kumar, Raj ^{[3
]}

Verma, Sarika ^{[3
]}

Murugusundaramoorthy, Gangadharan ^{[4
]}

机构：

[1] St Longowal Inst Engn & Technol, Dept Math, Longowal, Punjab, India

[2] Hans Raj Mahila Maha Vidyalya, Dept Math, Jalandhar 144001, Punjab, India

[3] DAV Univ, Dept Math, Jalandhar 144001, Punjab, India

[4] Vellore Inst Technol Deemed Univ, Sch Adv Sci, Vellore 632014, Tamil Nadu, India

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2021年 / 18卷 / 03期

关键词：

Harmonic mapping; Convolution; Bernardi operator; Coefficient conditions; Extreme points;

D O I：

10.22130/scma.2021.132155.841

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：27 / 39

页数：13

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