| Schwarz引理的推广及其应用 |
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| 引用本文： | 黄华平.Schwarz引理的推广及其应用[J].大学数学,2014,30(6):12-16. |
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| 作者姓名： | 黄华平 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 摘 要： | 引入Schwarz引理的一个最常见的推广定理,并且作出了详细的证明.同时以引理形式介绍了一个实用的复数性质,并且利用这两个引理,给出了开圆盘内解析函数的的实部,虚部以及模的估计式.
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| 关 键 词： | Schwarz引理 解析函数 最大模原理 |
The Generalization of Schwarz Lemma and Applications |
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| HUANG Hua-ping.The Generalization of Schwarz Lemma and Applications[J].College Mathematics,2014,30(6):12-16. |
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| Authors: | HUANG Hua-ping |
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| Institution: | HUANG Hua-ping (School of Mathematics and Stastics, Hubei Normal University, Huangshi , Hubei 435002,China) |
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| Abstract: | The common generalization of Schwarz Lemma is introduced and proved detailedly. Moreover, a usefulcomplex property is given by lemma form. In addition, some estimation formulas with respect to module, real part andimaginary part are also obtained for analytic function in open disk. |
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| Keywords: | Schwarz Lemma analytic function maximum modulus principle |
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