| 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,2015,36(1):69~80 |
| Clifford M\"{o}bius变换与Hypergenic函数 |
| Clifford M\"{o}bius Transformations and Hypergenic Functions |
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| DOI： |
| 中文关键词: Hypergenic函数, M\"{o}bius 变换, 实Clifford分析 |
| 英文关键词:Hypergenic function, M\"{o}bius transformation, Real Clifford analysis |
| 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) |
| Author Name | Affiliation | E-mail | | XIE Yonghong | College of Mathematics and Information Science, Hebei
Normal University,
Shijiazhuang 050024, China. | xyh1973@126.com | | ZHANG Xiaofei | College of Mathematics and Information Science, Pingdingshan University,
Pingdingshan 467000, Henan, China. | zhxfei2013@163.com | | WANG Lili | Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China. | wang.lyly@foxmail.com |
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| 中文摘要: |
| 首先,在实Clifford代数空间$Cl_{n+1,0}(\mathbb{R})$中给出了与Clifford M\"{o}bius变换相关的一些定理. 其次,
证明了hypergenic函数与Clifford M\"{o}bius
变换的复合可以得到一个加权的hypergenic函数. |
| 英文摘要: |
| First, some theorems related to Clifford M\"{o}bius transformations in the real Clifford algebra
space $Cl_{n+1,0}(\mathbb{R})$ 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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