| 复Clifford分析k超正则函数的等价条件 |
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| 引用本文： | 彭维玲,孟岩.复Clifford分析k超正则函数的等价条件[J].数学的实践与认识,2012,42(18):262-266. |
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| 作者姓名： | 彭维玲 孟岩 |
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| 作者单位： | 通化师范学院数学学院,吉林通化,134002 |
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| 基金项目： | 吉林省"十一五"科学技术资助项目 |
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| 摘 要： | 在实Clifford分析k超正则函数定义的基础上,首先给出了复Clifford分析k超正则函数的定义,然后得到了它的三个充分必要条件,这些条件将复Clifford分析中的k超正则函数与方程建立了联系,为进一步研究它的性质和应用提供了方便条件.
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| 关 键 词： | 复Clifford分析 k超正则函数 拟置换 |
The Equivalent Conditions of the k-Hypermonogenic Function in Complex Clifford Analysis |
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| PENG Wei-ling
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MENG Yan.The Equivalent Conditions of the k-Hypermonogenic Function in Complex Clifford Analysis[J].Mathematics in Practice and Theory,2012,42(18):262-266. |
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| Authors: | PENG Wei-ling MENG Yan |
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| Institution: | (Department of Mathematics,Tonghua Normal University,Tonghua 134002,China) |
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| Abstract: | On the base of the k-hypermonogenic function in real Clifford analysis,the definition of the k-hypermonogenic function in complex Clifford analysis is given,and then their equivalent conditions are put forward to study the properties and applications,which establish relation with partial differential equation. |
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| Keywords: | complex Clifford analysis k-hypermonogenic function quasi-permutations |
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