| 单位圆盘外单叶调和映射的面积定理 |
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| 引用本文： | 石擎天1,林珍连2. 单位圆盘外单叶调和映射的面积定理[J]. 集美大学学报(自然科学版), 2022, 0(4): 365-369 |
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| 作者姓名： | 石擎天1 林珍连2 |
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| 作者单位： | （1.泉州师范学院数学与计算机科学学院,福建 泉州 362000;2.华侨大学数学科学学院,福建 泉州 362021） |
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| 摘 要： | 设ΣH是所有单位圆盘外部Δ*上单叶保向的规范化调和映射。利用Green定理得到了ΣH类的面积定理,并运用该面积定理和Cauchy-Green公式,对具有拟共形延拓性的ΣH类函数的系数进行估计。所得结果推广了经典的Σ类相应结果。
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| 关 键 词： | 单叶调和映射 拟共形延拓 面积定理 Green定理 |
Area Theorem of Univalent Harmonic Mappings Outside Unit Disk |
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| SHI Qingtian,LIN Zhenlian. Area Theorem of Univalent Harmonic Mappings Outside Unit Disk[J]. the Editorial Board of Jimei University(Natural Science), 2022, 0(4): 365-369 |
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| Authors: | SHI Qingtian LIN Zhenlian |
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| Affiliation: | (1.School of Mathematics and Computation Science,Quanzhou Normal University,Quanzhou 362000,China;2.School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | LetΣH be the class of all sense preserving univalent and normalization harmonic mappings on the exterior of the unit disk Δ*.Using the Green theorem,the area theorem of ΣH was obtained.Then applying this area theorem and Cauchy-Green formula,the coefficients estimation of ΣH with quasiconformal extension to the plane was studied.The results generalize the corresponding results of the classical Σ. |
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| Keywords: | univalent harmonic mappings quasiconformal extension area theorem Green theorem |
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