| 关于单叶限制值的正规定理 |
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| 引用本文： | 孙道椿,柴富杰.关于单叶限制值的正规定理[J].江西师范大学学报(自然科学版),2016,40(3):268-271. |
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| 作者姓名： | 孙道椿 柴富杰 |
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| 作者单位： | 1.华南师范大学数学科学学院,广东 广州 510631; 2.广州民航职业技术学院人文社科学院,广东 广州 510403 |
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| 摘 要： | 应用Ahlfors覆盖曲面理论,研究了涉及限制值的亚纯函数族的正规定理,得到涉及单叶岛的正规定理和涉及单叶限制值的正规定理,推广了著名的Ahlfors的五岛定理与Nevanlinna五单值定理.
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| 关 键 词： | 亚纯函数 正规族 覆盖曲面 岛 单叶限制值 |
The Normal Theory Concerning the Univalent Restricted Values |
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| SUN Daochun,CHAI Fujie.The Normal Theory Concerning the Univalent Restricted Values[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2016,40(3):268-271. |
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| Authors: | SUN Daochun CHAI Fujie |
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| Institution: | 1.School of Mathematics,South China Normal University,Guangzhou Guandong 510631,China; 2.School of Humanities and Social Sciences,Guangzhou Civil Aviation College,Guangzhou Guandong 510403,China |
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| Abstract: | By using the Ahlfors’ covering theorem,the normality criteria for a family of meromorphic functions concerning the restricted values is investigated.Some normal theorems concerning the univalent islands and the univalent restricted values are obtained,which extend the famous Ahlfors’ five islands theorem and the Nevanlinna’s five univalent-valued theorem. |
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| Keywords: | meromorphic function normal families covering surface island univalent restricted value |
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