Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions

被引:0
|
作者
Kahramaner, Yasemin [1 ]
Polatoglu, Yasar [2 ]
机构
[1] Istanbul Commerce Univ, Dept Math, Istanbul, Turkey
[2] Istanbul Kultur Univ, Dept Math & Comp Sci, Istanbul, Turkey
来源
SAINS MALAYSIANA | 2014年 / 43卷 / 12期
关键词
Coefficient inequality; distortion theorem; growth theorem; k-quasiconformal mapping;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Let f(z) = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar= vertical bar g'(z)/h'(z)vertical bar< k, 0 < k < 1, then is called k-quasiconformal harmonic mapping in D. The main purpose of this paper was to give some properties of the class of k-quasiconformal mappings related to Janowski starlike functions.
引用
收藏
页码:1961 / 1964
页数:4
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