| Clifford M"{o}bius变换与Hypergenic函数 |
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| 引用本文： | 谢永红,张晓飞,王丽丽. Clifford M"{o}bius变换与Hypergenic函数[J]. 数学年刊A辑(中文版), 2015, 36(1): 69-80 |
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| 作者姓名： | 谢永红 张晓飞 王丽丽 |
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| 作者单位： | 河北师范大学数学与信息科学学院, 石家庄 050024.;平顶山学院数学与信息科学学院, 河南 平顶山 467000.;石家庄军械工程学院应用数学研究所, 石家庄 050003. |
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| 基金项目： | 国家自然科学基金(No.11301136, No.11401159, No.11101139, No.11401162), 河北省自然科学基金(No.A2014205069, No.A2015205012), 浙江省自然科学基金(No.LY14A010017)和河北师范大学博士基金项目(No.L2015B04, No.L2015B03) |
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| 摘 要： | 首先,在实Clifford代数空间Cl_n+1,0(R)中给出了与Clifford Mbius变换相关的一些定理.其次,证明了hypergenic函数与Clifford Mobius变换的复合可以得到一个加权的hypergenic函数.
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| 关 键 词： | Hypergenic函数 Mobius变换 实Clifford分析 |
Clifford M"{o}bius Transformations and Hypergenic Functions |
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| XIE Yonghong,ZHANG Xiaofei and WANG Lili. Clifford M"{o}bius Transformations and Hypergenic Functions[J]. Chinese Annals of Mathematics, 2015, 36(1): 69-80 |
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| Authors: | XIE Yonghong ZHANG Xiaofei WANG Lili |
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| Affiliation: | College of Mathematics and Information Science, HebeiNormal University,Shijiazhuang 050024, China.;College of Mathematics and Information Science, Pingdingshan University,Pingdingshan 467000, Henan, China.;Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China. |
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| Abstract: | First, some theorems related to Clifford M"{o}bius transformations in the real Clifford algebraspace $Cl_{n+1,0}(mathbb{R})$ are given. Then, it is proved that the compositions of hypergenic functions with Clifford M"{o}bius transformations lead to hypergenic functions with weight. |
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| Keywords: | Hypergenic function, M" {o}bius transformation, Real Clifford analysis |
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