| 负系数调和单叶函数 |
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| 引用本文： | 黄盛,赖新兴.负系数调和单叶函数[J].南方冶金学院学报,2006,27(3):62-65. |
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| 作者姓名： | 黄盛 赖新兴 |
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| 作者单位： | [1]江西师范大学数学与信息科学学院,江西南昌330027 [2]江西理工大学理学院,江西赣州341000 |
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| 摘 要： | 单位圆盘U内单叶且保向的复值调和函数可表示为形式：f=h＋g^-，这里h和g分别在U内解析．我们给出函数成为α级调和凸映照的系数充分条件，此时g的首项系数b1不必为零．这些条件是充要的，当h和g都是负系数时．
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| 关 键 词： | 调和 保向 单叶 |
| 文章编号： | 1007-1229(2006)03-0062-04 |
| 收稿时间： | 2005-12-19 |
| 修稿时间： | 2005年12月19 |
Harmonic Univalent Functions with Negative Coefficients |
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| HUANG Sheng,LAI Xin-xing.Harmonic Univalent Functions with Negative Coefficients[J].Journal of Southern Institute of Metallurgy,2006,27(3):62-65. |
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| Authors: | HUANG Sheng LAI Xin-xing |
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| Affiliation: | 1. Institute of Mathematics and Informatics, Jiangxi Normal University, Nangchang 330027, China; 2. Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China |
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| Abstract: | Complex - valued hannonic functions that are univalent and sense - preserving in the unit disk U can be written in the form f= h+g , where h and g are analytic in U . We give sufficient conditions for these functions to map onto convex regions, when f-z(0) = b1 is not necessary zero. It is shown that these conditions are also necessary , when h and g have negative coefficients. |
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| Keywords: | harmonic sense-preserving univalent |
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