On Harmonic K-Quasiconformal Mappings Associated with Asymmetric Vertical Strips

On Harmonic K-Quasiconformal Mappings Associated with Asymmetric Vertical Strips

In this paper,we discuss the sense-preserving univalent harmonic mappings from the unit disk D onto asymmetrical vertical strips Ωα={ω：α-π/2sinαR（ω）α/2sinα},π/2≤απSuch results as analytic representation formula,coefficient estimates,distortion theorem and area theorem are derived....

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Veröffentlicht in:Acta mathematica Sinica. English series 2015-12, Vol.31 (12), p.1970-1976
Hauptverfasser: Wang, Zhi Gang, Shi, Lei, Jiang, Yue Ping
Format: Artikel
Sprache:eng
Schlagworte:
K-拟共形映射
Mathematical models
Mathematics
Mathematics and Statistics
Studies
Theorems
不对称
单位圆盘
单叶调和映射
垂直
定理推导
解析表示式
谐波
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container_end_page 1976
container_issue 12
container_start_page 1970
container_title Acta mathematica Sinica. English series
container_volume 31
creator Wang, Zhi Gang
Shi, Lei
Jiang, Yue Ping
description In this paper,we discuss the sense-preserving univalent harmonic mappings from the unit disk D onto asymmetrical vertical strips Ωα={ω：α-π/2sinαR（ω）α/2sinα},π/2≤απSuch results as analytic representation formula,coefficient estimates,distortion theorem and area theorem are derived.
doi_str_mv 10.1007/s10114-015-4773-8
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subjects K-拟共形映射
Mathematical models
Mathematics
Mathematics and Statistics
Studies
Theorems
不对称
单位圆盘
单叶调和映射
垂直
定理推导
解析表示式
谐波
title On Harmonic K-Quasiconformal Mappings Associated with Asymmetric Vertical Strips
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