| Clifford分析中双正则函数的Taylor展式及其性质 |
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| 引用本文： | 彭维玲,王海燕,乔玉英. Clifford分析中双正则函数的Taylor展式及其性质[J]. 数学的实践与认识, 2008, 38(16) |
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| 作者姓名： | 彭维玲 王海燕 乔玉英 |
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| 作者单位： | 1. 通化师范学院数学系,吉林,通化,134002
2. 河北师范大学数学与信息科学学院,河北,石家庄,050016 |
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| 基金项目： | 国家自然科学基金，吉林省科学技术资助项目，河北省自然科学基金 |
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| 摘 要： | 首先借助实Clifford分析中双正则函数的累次积分的换序公式,给出了双正则函数的Cauchy积分公式,然后由特征边界的Cauchy积分公式,得到了双正则函数的Taylor展式,并由此给出了双正则函数的唯一性定理,柯西不等式和Weierstrass定理.
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| 关 键 词： | Clifford分析 双正则函数 Cauchy不等式 Weierstrass定理 唯一性定理 |
The Taylor Expansion and Some Properties for Biregular Functions in Clifford Analysis |
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| PENG Wei-ling,WANG Hai-yan,QIAO Yu-ying. The Taylor Expansion and Some Properties for Biregular Functions in Clifford Analysis[J]. Mathematics in Practice and Theory, 2008, 38(16) |
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| Authors: | PENG Wei-ling WANG Hai-yan QIAO Yu-ying |
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| Abstract: | In the first part of this paper,Cauchy integral formula is given by using the problem of changing the integral order in Clifford Analysis,and then the Taylor expansion for biregular functions is obtained on the basis of the Cauchy integral formula on certain distinguished boundary,after that,Uniqueness theorem,Cauchy inequality and Weierstrass theorem are introduced. |
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| Keywords: | Clifford analysis Biregular functions Cauchy inequality Uniqueness theorem Weierstrass theorem |
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