| Bieberbach猜想的一个应用及S族的一个性质 |
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| 引用本文： | 李会平.Bieberbach猜想的一个应用及S族的一个性质[J].安庆师范学院学报(自然科学版),2009,15(2):4-6. |
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| 作者姓名： | 李会平 |
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| 作者单位： | 广西民族大学,数学与计算机科学学院,广西,南宁,530006 |
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| 基金项目： | 广西民族大学研究生教育创新计划 |
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| 摘 要： | 运用Bieherbach猜想及级数收敛的定义获得了S族函数及其导函数的模有上界的简洁证明。同时运用面积原理与极限的定义证明了S族函数在原点附近具有保二维测度微小变化的性质。
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| 关 键 词： | S族 Bieberbach猜想 级数收敛 测度 |
One Application about Bieberbach Conjecture and a Property of S-family |
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| LI Hui-ping.One Application about Bieberbach Conjecture and a Property of S-family[J].Journal of Anqing Teachers College(Natural Science Edition),2009,15(2):4-6. |
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| Authors: | LI Hui-ping |
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| Institution: | College of Mathematics and Computer Science;Guangxi University for Nationalities;Nanning 530006;China |
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| Abstract: | One succinct proof about the modulus of S—family function and its derived function having upper bound is given by Bieberbach conjecture and the definition of series convergence.At the same time,one property that S—family functions keep two—dimension measure of tiny change near the zero is proved by the area—principle and the definition of limit. |
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| Keywords: | S-family Bieberbach conjecture series convergence measure |
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