[1]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(03):268-271.
　SUN Daochun,CHAI Fujie.The Normal Theory Concerning the Univalent Restricted Values[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(03):268-271.
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关于单叶限制值的正规定理()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年03期
页码:
268-271
栏目:
出版日期:
2016-07-01

文章信息/Info

Title:
The Normal Theory Concerning the Univalent Restricted Values
作者:
孙道椿; 柴富杰
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
Author(s):
SUN Daochun; CHAI Fujie
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
关键词:
亚纯函数;  正规族;  覆盖曲面;  岛;  单叶限制值
Keywords:
meromorphic function;  normal families;  covering surface;  island;  univalent restricted value
分类号:
O 174.52
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-03-10基金项目:国家自然科学基金(11171013,11371225,11301091)资助项目.作者简介:孙道椿(1943-),男,江西南昌人,教授,博士生导师,主要从事复分析和随机级数研究.
更新日期/Last Update: 1900-01-01