k-超正则函数及其相关函数的性质 |
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引用本文: | 袁洪芬,乔玉英.k-超正则函数及其相关函数的性质[J].数学物理学报(A辑),2009,29(3):716-726. |
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作者姓名: | 袁洪芬 乔玉英 |
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作者单位: | (1. 河北师范大学 数学与信息科学学院 |石家庄 050016|2. 河北工程大学 |理学院 |河北邯郸 056038) |
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基金项目: | 国家自然科学数学天元基金(A0324610)和河北省自然科学基金(102129)资助 |
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摘 要: | 给出了k -超正则函数的开拓定理和唯一性定理,由唯一性定理证明了超正则函数列的内闭一致收敛性; 由k -超正则函数的P 部和Q 部满足的两个微分方程,讨论了此方程与k -超正则函数及其相关函数的关系.
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关 键 词: | k-超正则函数 k -超调和函数 开拓定理 唯一性定理 k -超正则函数的 P 部和 Q 部 |
收稿时间: | 2007-11-19 |
修稿时间: | 2009-03-10 |
Properties of k-Hypermonogenic Functions and Their Relative Functions |
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Institution: | (1. College of Mathematics and Information Science, Hebei Normal University, Shi Jiazhuang 050016|
2. College of Science, Hebei University of Engineering, Handan 056038) |
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Abstract: | In the first part of this paper, the authors show the extension theorem and uniqueness theorem of k-hypermonogenic functions. What is more, by the uniqueness theorem, the authors prove the inner-closed uniform convergence of sequence of hypermonogenic functions. In the second part of this paper, as P-part and Q-part of k-hypermonongenic functions satisfy two equations, the authors discuss the relationship between these two equations and k-hypermonogenic functions and their relative functions. |
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Keywords: | k-Hypermonogenic functionzz k-Hyperbolic Harmonic functionzz Extension theoremzz Uniqueness theoremzz the P-part and Q-part of k-Hypermonogenic functionzz |
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