Linear Combinations of Univalent Mappings with Complex Coefficients

被引:0
|
作者
Liu, Zhihong [1 ,2 ]
Cai, Yulin [1 ]
Wang, Ziwei [1 ]
Shi, Lei [1 ]
Li, Yingchun [1 ]
机构
[1] Guilin Univ Technol, Coll Sci, Guilin 541006, Guangxi, Peoples R China
[2] Guangxi Coll & Univ Key Lab Appl Stat, Guilin, Guangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
CONVEX;
D O I
10.1155/2021/9188781
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the linear combinations of two univalent mappings with complex coefficients, and we derive several sufficient conditions that the linear combinations of these mappings are locally univalent and convex in one direction. Several examples are constructed to demonstrate the main results.
引用
收藏
页数:8
相关论文
共 50 条
  • [21] ON POLYHARMONIC UNIVALENT MAPPINGS
    Chen, J.
    Rasila, A.
    Wang, X.
    MATHEMATICAL REPORTS, 2013, 15 (04): : 343 - 357
  • [22] Univalent σ-harmonic mappings
    Alessandrini, G
    Nesi, V
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 158 (02) : 155 - 171
  • [23] Univalent σ-Harmonic Mappings
    Giovanni Alessandrini
    Vincenzo Nesi
    Archive for Rational Mechanics and Analysis, 2001, 158 : 155 - 171
  • [24] INJECTIVITY CRITERIA OF LINEAR COMBINATIONS OF HARMONIC QUASIREGULAR MAPPINGS
    Huang, Jie
    Rasila, Antti
    Zhu, Jian-Feng
    KODAI MATHEMATICAL JOURNAL, 2024, 47 (01) : 52 - 66
  • [25] Linear Operator on univalent Function of Complex Order
    Aqlan, Essam
    ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 85 - 93
  • [26] Univalent σ-harmonic mappings:: Connections with quasiconformal mappings
    Alessandrini, G
    Nesi, V
    JOURNAL D ANALYSE MATHEMATIQUE, 2003, 90 (1): : 197 - 215
  • [27] Univalent Σ-harmonic mappings: connections with quasiconformal mappings
    Giovanni Alessandrini
    Vincenzo Nesi
    Journal d’Analyse Mathématique, 2003, 90 : 197 - 215
  • [28] Sections of univalent harmonic mappings
    Ponnusamy, Saminathan
    Kaliraj, Anbareeswaran Sairam
    Starkov, Victor V.
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (02): : 527 - 540
  • [29] On the Shears of Univalent Harmonic Mappings
    M. Aydogan
    D. Bshouty
    A. Lyzzaik
    F. M. Sakar
    Complex Analysis and Operator Theory, 2019, 13 : 2853 - 2862
  • [30] AN ASYMPTOTIC PROPERTY OF UNIVALENT MAPPINGS
    ORTEL, M
    SCHNEIDER, W
    MICHIGAN MATHEMATICAL JOURNAL, 1994, 41 (02) : 337 - 343