| 反演变换在调和函数研究中的应用 |
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| 引用本文： | 赵天玉,刘庆. 反演变换在调和函数研究中的应用[J]. 长江大学学报, 2009, 6(3): 1-4 |
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| 作者姓名： | 赵天玉 刘庆 |
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| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023;长江大学信息与数学学院,湖北,荆州,434023 |
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| 摘 要： | 反演变换也称逆矢径变换，有着比较独特的几何性质，是一种有效的数学方法，其应用十分广泛。首先给出了反演变换的定义，然后利用反演变换和凯尔文（Kelvin）变换重点讨论一了调和函数的一些性质及其应用，并给出了8个相关命题及其证明。
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| 关 键 词： | 反演变换 调和函数 凯尔文(Kelvin)变换 |
Application of Inversion Transformation Method in Study of Harmonic Function |
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| ZHAO Tian-yu LIU Qing. Application of Inversion Transformation Method in Study of Harmonic Function[J]. Journal of Yangtze University, 2009, 6(3): 1-4 |
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| Authors: | ZHAO Tian-yu LIU Qing |
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| Affiliation: | ZHAO Tian-yu LIU Qing (Yangtze University,Jingzhou,434023) |
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| Abstract: | Inversion transformation,which was also called inversive radius vector transformation was an effective mathematical method.It has extensive application not only in many branches of mathmetics but also in solving potential distribution of electrostatic field.In this paper,the definition of inversion transformation is given firstly.Then inversion transformation and Kelvin transformation are used to center on the discussion about some properties and propositions of harmonic function,meanwhile,eight proposition... |
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| Keywords: | inversion transformation harmonic function Kelvin transformation proposition |
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