Linear Combinations of Univalent Harmonic Mappings Convex in the Direction of the Imaginary Axis

被引：11
|
作者：
Kumar, Raj [1 ]
Gupta, Sushma [2 ]
Singh, Sukhjit [2 ]
机构：
[1] DAV Univ, Jalandhar 144001, Punjab, India
[2] St Longowal Inst Engn & Technol, Dept Math, Longowal 148106, Punjab, India
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 02期
关键词：
Harmonic mapping; Linear combination; Convex in the direction of the imaginary axis;
D O I：
10.1007/s40840-015-0190-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we introduce a family of univalent harmonic mappings, which map the unit disk onto domains convex in the direction of the imaginary axis. We find conditions for the linear combinations of mappings from this family to be univalent and convex in the direction of the imaginary axis. Linear combinations of functions from this family and harmonic mappings obtained by shearing of analytic vertical strip mappings are also studied.
引用
收藏
页码：751 / 763
页数：13
相关论文
共 50 条
  • [1] Linear Combinations of Univalent Harmonic Mappings Convex in the Direction of the Imaginary Axis
    Raj Kumar
    Sushma Gupta
    Sukhjit Singh
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 751 - 763
  • [2] ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS
    Wang, Zhi-Gang
    Liu, Zhi-Hong
    Li, Ying-Chun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (01): : 145 - 155
  • [3] On the linear combinations of harmonic univalent mappings
    Wang, Zhi-Gang
    Liu, Zhi-Hong
    Li, Ying-Chun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (02) : 452 - 459
  • [4] Univalent harmonic mappings convex in one direction
    S. Ponnusamy
    A. Sairam Kaliraj
    Analysis and Mathematical Physics, 2014, 4 : 221 - 236
  • [5] LINEAR COMBINATIONS OF HARMONIC QUASICONFORMAL MAPPINGS CONVEX IN ONE DIRECTION
    Sun, Yong
    Rasila, Antti
    Jiang, Yue-Ping
    KODAI MATHEMATICAL JOURNAL, 2016, 39 (02) : 366 - 377
  • [6] Univalent harmonic mappings convex in one direction
    Ponnusamy, S.
    Kaliraj, A. Sairam
    ANALYSIS AND MATHEMATICAL PHYSICS, 2014, 4 (03) : 221 - 236
  • [7] Linear Combinations of a Class of Harmonic Univalent Mappings
    Long, Bo-Yong
    Dorff, Michael
    FILOMAT, 2018, 32 (09) : 3111 - 3121
  • [8] LINEAR COMBINATIONS OF UNIVALENT HARMONIC MAPPINGS WITH COMPLEX COEFFICIENTS
    Khurana, Deepali
    Kumar, Raj
    Gupta, Sushma
    Singh, Sukhjit
    MATEMATICKI VESNIK, 2022, 74 (03): : 189 - 196
  • [9] ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS
    Ferrada-Salas, Alvaro
    Hernandez, Rodrigo
    Martin, Maria J.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 96 (02) : 256 - 262
  • [10] Rotations of convex harmonic univalent mappings
    Kayumov, Ilgiz R.
    Ponnusamy, Saminathan
    Le Anh Xuan
    BULLETIN DES SCIENCES MATHEMATIQUES, 2019, 155 : 1 - 9
12345