[1]徐 焱.Montel正规定则的推广与改进(英文)[J].江西师范大学学报(自然科学版),2019,(02):122-127.[doi:10.16357/j.cnki.issn1000-5862.2019.02.02]
 XU Yan.Some Generalizations and Improvements of Montel's Criterion[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(02):122-127.[doi:10.16357/j.cnki.issn1000-5862.2019.02.02]
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Montel正规定则的推广与改进(英文)()
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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:
期数:
2019年02期
页码:
122-127
栏目:
复分析研究
出版日期:
2019-04-10

文章信息/Info

Title:
Some Generalizations and Improvements of Montel's Criterion
文章编号:
1000-5862(2019)02-0122-06
作者:
徐 焱
南京师范大学数学科学学院,江苏 南京 210023
Author(s):
XU Yan
Institute of Mathematics,School of Mathematics,Nanjing Normal University,Nanjing Jiangsu 210023,China
关键词:
Montel正规定则 正规族 例外值 分担值
Keywords:
Montel's criterion normal family exceptional value shared value
分类号:
O 174.52
DOI:
10.16357/j.cnki.issn1000-5862.2019.02.02
文献标志码:
A
摘要:
Montel正规定则是亚纯函数正规族理论中最著名的结果,它在亚纯函数值分布、复动力系统、极值问题等方面有着重要的应用.至今,已得到它的许多推广与改进.该文将介绍Montel正规定则的一些推广与改进,同时给出了关于Montel正规定则的2个问题.
Abstract:
Montel's criterion is the most celebrated theorem in the theory of normal families of meromorphic functions,and plays an important role in value distribution theory,complex dynamics,extremal problems,etc.Up to now,there have been a variety of extensions and improvements of Montel's criterion.In this paper,some generalizations and improvements of Montel's criterion are summarized.Also,two questions related to Montel's criterion are given.

参考文献/References:

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相似文献/References:

[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.
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备注/Memo

备注/Memo:
收稿日期:2018-11-28 基金项目:国家自然科学基金(11471163)资助项目. 作者简介:徐 焱(1964-),男,江苏镇江人,教授,博士生导师,主要从事亚纯函数值分布正规族与唯一性等方面的研究.E-mail:xuyan@njnu.edu.cn
更新日期/Last Update: 2019-04-10