| 加权正则函数的一些性质 |
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| 引用本文： | 罗利萍,王丽萍,邱芬.加权正则函数的一些性质[J].高校应用数学学报(A辑),2022(1):61-78. |
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| 作者姓名： | 罗利萍 王丽萍 邱芬 |
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| 作者单位： | 河北师范大学数学科学学院 |
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| 基金项目： | 河北省自然科学基金(A2020205008; A2015205012)；;国家自然科学基金(11401162; 11871191; 11571089)； |
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| 摘 要： | 正则函数是Clifford分析中的一类重要函数,加权正则函数是正则函数的进一步发展,也是一类重要的函数,因此具有一定的研究意义.在正则函数的研究基础上,并利用加权正则函数自身的性质,讨论了加权正则函数的平均值定理,最大模原理,Weierstrass定理以及一些其它推论.
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| 关 键 词： | 实Clifford分析 加权正则函数 平均值定理 最大模原理 Weierstrass定理 |
Some properties of weighted regular functions |
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| LUO Li-ping,WANG Li-ping,QIU Fen.Some properties of weighted regular functions[J].Applied Mathematics A Journal of Chinese Universities,2022(1):61-78. |
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| Authors: | LUO Li-ping WANG Li-ping QIU Fen |
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| Institution: | (School of Mathematical Science,Hebei Normal University,Shijiazhuang 050024,China) |
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| Abstract: | Regular function is one of the important functions in Cliford analysis and weighted regular function is the further development of regular function, which is also a kind of important function, so it is a certain research significance to study the weighted regular function. Based on the research of regular function and using the characteristics of the weighted regular function itself, mean value theorem, maximum modulus theorem, Weierstrass theorem and some corollaries of weighted regular functions are discussed. |
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| Keywords: | real Clifford analysis weighted regular functions mean value theorem maximum modulus theorem Weierstrass theorem |
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