| 极值点的局部判别定理 |
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| 引用本文： | 张能明.极值点的局部判别定理[J].中山大学学报(自然科学版),1989,28(2):10-14. |
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| 作者姓名： | 张能明 |
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| 作者单位： | 中山大学数学系 |
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| 摘 要： | 利用区域边界曲线的曲率性质,研究所有象在该区域的解析函数组成的集合之极值点,给出函数成为极值点的充分条件,并求得两类特殊的解析函数族之极值点,推广了前人的有关结论。
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| 关 键 词： | 解析函数族 极值点 区域的可微边界曲线 曲率 |
Local Discriminate Theorem for Extreme Points of Families of Analytic Functions |
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| Chang Nengming.Local Discriminate Theorem for Extreme Points of Families of Analytic Functions[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1989,28(2):10-14. |
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| Authors: | Chang Nengming |
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| Institution: | Chang Nengming Department of Mathematics |
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| Abstract: | Using the Local property of boundary curve of a domain, we present several theorems concerning the sufficient condition of extreme points of families of functions which map the unit disk to the domain. In particular, we solve the extreme points of families of analytic functions subordinating to functions which belong to two families of analytic functions. |
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| Keywords: | families of analytic functions extreme points differentiable boundary curve curvature |
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