| 调和映照与像域为线性连结的剪切函数的关系 |
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| 引用本文： | 占龙俊,黄心中. 调和映照与像域为线性连结的剪切函数的关系[J]. 华侨大学学报(自然科学版), 2015, 0(5): 603-608. DOI: 10.11830/ISSN.1000-5013.2015.05.0603 |
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| 作者姓名： | 占龙俊 黄心中 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 设f(z)=h(z)+g(z)^-为单位圆盘D={z||z|<1}上的局部单叶调和函数,若剪切函数h(z)-g(z)在D上单叶且像域具有M线性连结,研究当伸缩商|ω(z)|=|(g’(z))/(h’(z))|在一定条件下,h(z),Fλ(z)=h(z)+λ×g(z)^- 等函数的单叶性及线性连结性问题,改进推广了陈少林的相应结果.
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| 关 键 词： | 调和映照 线性连结 调和拟共形映照 α近于凸. |
Relation Between Harmonic Mapping and Its Shear Function With Linearly Connected Image Domain |
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| ZHAN Long-jun,HUANG Xin-zhong. Relation Between Harmonic Mapping and Its Shear Function With Linearly Connected Image Domain[J]. Journal of Huaqiao University(Natural Science), 2015, 0(5): 603-608. DOI: 10.11830/ISSN.1000-5013.2015.05.0603 |
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| Authors: | ZHAN Long-jun HUANG Xin-zhong |
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| Affiliation: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | Suppose that f(z)=h(z)+g(z)^- is a locally univalent harmonic mapping on the unit disk D={z||z|<1}, if its shear function h(z)-g(z)is univalent with linearly connected image domain, we consider the univalence and the image properties of h(z), Fλ(z)=h(z)+λg(z)^- under some restriction conditions of the dilatation of f(z). Our results improve and generalize some results made in CHEN Shao-lin. |
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| Keywords: | harmonic mapping linearly connected domain harmonic quasiconformal mapping α-close-to convex |
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