| 代数体函数的一个正规定则 |
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| 引用本文： | 柳学坤,孙道椿.代数体函数的一个正规定则[J].数学学报,2004,47(4):731-734. |
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| 作者姓名： | 柳学坤 孙道椿 |
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| 作者单位： | 1. 咸宁学院数学系,咸宁,437005
2. 华南师范大学数学系,广州,510631 |
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| 基金项目： | 湖北省教育厅科学研究重点项目(2003A001) |
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| 摘 要： | 本文运用覆盖曲面,克服了代数体函数多值性及分支点的困难,建立了一个代数体函数的正规定理,并证明了:对分支点分担的代数体函数族,若族中每个函数都不取互异的三个复数,则此函数族正规。
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| 关 键 词： | 代数体函数 覆盖曲面 正规定理 |
| 文章编号： | 0583-1431(2004)04-0731-04 |
A New Normal Criterion of Algebroidal Function |
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| Xue Kun LIU.A New Normal Criterion of Algebroidal Function[J].Acta Mathematica Sinica,2004,47(4):731-734. |
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| Authors: | Xue Kun LIU |
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| Institution: | Xue Kun LIU Department of Mathematics,Xianning College,Xianning 437005,P.R.China Dao Chun SUN
Bao Chun SUN Department of Mathematics, Huanan Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | In this paper, a new normal criterion of algebroidal function is proposed
by applying the main theorems on covering surface, which overcomes some difficulties
caused by the multivaluedness and bifurcation points. We continue to prove the fol-
lowing result: For those algebroidal function families where the bifurcation points are
shared, the function family is normal, if every function in these families is not equal to
three different values. |
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| Keywords: | Algebroidal function Covering surfaces Normal theorem |
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