| Montel正规定则的推广(英文) |
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| 引用本文： | 王晓晶.Montel正规定则的推广(英文)[J].大学数学,2009,25(5). |
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| 作者姓名： | 王晓晶 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223300 |
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| 摘 要： | 用简单的方法证明了全纯函数族的一个正规定则,推广了Montel正规定则.设F为区域D上的一个全纯函数族,其零点是重级的,a为有限复数.如果f,g∈F,有(f-1)f′与(g-1)g′分担a,则F正规.
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| 关 键 词： | 正规族 分担值 全纯函数 |
The Generalization of Montel Normality Criterion |
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| WANG Xiao-jing.The Generalization of Montel Normality Criterion[J].College Mathematics,2009,25(5). |
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| Authors: | WANG Xiao-jing |
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| Abstract: | We get some normal criterions of holomorphic functions in a simple way. Let F be a family of holomorphic functions on domain D, all of whose zeros are multiple. Let a be a finite complex number. If for any f,g∈F, (f-1)f′ and (g-1)g′ IM share the value a in D, then F is normal on D. Which generalize the Montel criterion. |
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| Keywords: | normal family shared value holomorphic functions |
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