| 形式幂级数收敛集的共形不变性 |
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| 引用本文： | 李艳丽,刘华.形式幂级数收敛集的共形不变性[J].天津工程师范学院学报,2013(4):32-33,42. |
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| 作者姓名： | 李艳丽 刘华 |
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| 作者单位： | 天津职业技术师范大学理学院,天津300222 |
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| 摘 要： | 在形式幂级数收敛集定义的基础上,证明了形式幂级数的收敛集通过共形映射（M（o）bius变换）作用后仍为收敛集及收敛集的一些主要性质.由于初等变换的复合仍为初等变换,故本文主要讨论收敛集经过平移、伸缩、反演3种变换后仍为收敛集.收敛集及收敛集的性质在许多实际应用中具有重要意义和价值,文章给出了一些具体的例子以便学习者加深对该知识的理解.
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| 关 键 词： | 形式幂级数 收敛集 M（o）bius变换 |
Conformal invariance of the convergent sets of formal power serie |
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| LI Yan-li,LIU Hua.Conformal invariance of the convergent sets of formal power serie[J].Journal of Tianji University of Technology and Education,2013(4):32-33,42. |
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| Authors: | LI Yan-li LIU Hua |
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| Institution: | (School of Science, Tianjin University of Technology and Education, Tianjin 300222, China) |
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| Abstract: | On the basis of the definition of the convergent sets, this paper mainly proves that the convergent sets of formal power series are still convergent sets through M~bius transform, this is very important in the practical application, and it gives some examples to apply this theory. |
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| Keywords: | formal power series convergent sets MShius transform |
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