QUASICONFORMAL HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTIONS

被引：0
|
作者：
Polatoglu, Yasar [1 ]
Duman, Emel Yavuz [1 ]
Kahramaner, Yasemin [2 ]
Aydogan, Melike [3 ]
机构：
[1] Istanbul Kultur Univ, Dept Math & Comp Sci, Istanbul, Turkey
[2] Istanbul Ticaret Univ, Dept Math, Istanbul, Turkey
[3] Isik Univ, Dept Math, Mesrutiyet Koyu, Sile Istanbul, Turkey
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2014年 / 16卷 / 05期
关键词：
k- quasiconformal harmonic mappings; distortion theorem; coefficient inequality;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = vertical bar g'(z)/h'(z)vertical bar < k, (0 <= k < 1), then f is called k-quasiconformal harmonic mapping in D. The aim of this paper is to investigate a subclass of k-quasiconformal harmonic mappings.
引用
收藏
页码：955 / 963
页数：9
相关论文
共 50 条
  • [1] Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions
    Kahramaner, Yasemin
    Polatoglu, Yasar
    SAINS MALAYSIANA, 2014, 43 (12): : 1961 - 1964
  • [2] Harmonic mappings related to Janowski starlike functions
    Kahramaner, Yasemin
    Polatoglu, Yasar
    Aydogan, Melike
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 270 : 564 - 570
  • [3] Bounded Harmonic Mappings Related to Starlike Functions
    Varol, Durdane
    Aydogan, Melike
    Polatoglu, Yasar
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 644 - 649
  • [4] QUASICONFORMAL EXTENSIONS OF STARLIKE HARMONIC MAPPINGS IN THE UNIT DISC
    Hamada, Hidetaka
    Honda, Tatsuhiro
    Shon, Kwang Ho
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (04) : 1377 - 1387
  • [5] CERTAIN CLASS OF HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTIONS
    Kahramaner, Yasemin
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2014, 4 (01): : 1 - 6
  • [6] Harmonic mappings related to the m-fold starlike functions
    Aydogan, Melike
    Polatoglu, Yasar
    Kahramaner, Yasemin
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 267 : 805 - 809
  • [7] Quasiconformal Harmonic Mappings Related to Janowski Alpha-Spirallike Functions
    Aydogan, Melike
    Polatoglu, Yasar
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 779 - 784
  • [8] Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
    Sakar, F. M.
    Aydogan, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 319 : 461 - 468
  • [9] Riesz conjugate functions theorem for harmonic quasiconformal mappings
    Liu, Jinsong
    Zhu, Jian-Feng
    ADVANCES IN MATHEMATICS, 2023, 434
  • [10] Univalence disks of harmonic locally quasiconformal mappings and harmonic Bloch functions
    Starkov, VV
    SIBERIAN MATHEMATICAL JOURNAL, 1997, 38 (04) : 791 - 800
12345