[1]郑娟.一个正规定则的推广(英文)[J].南京师范大学学报(自然科学版),2009,32(01):25-29.
 Zheng Juan,Xu Yan.Generalization of a Normality Criteria[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(01):25-29.
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一个正规定则的推广(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年01期
页码:
25-29
栏目:
数学
出版日期:
2009-03-30

文章信息/Info

Title:
Generalization of a Normality Criteria
作者:
郑娟1 2 徐焱2
1. 江苏省江阴市青阳高级中学, 江苏无锡214400
2. 南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
Zheng Juan12Xu Yan2
1.Jiangsu Province Jiangyin Qingyang Senior High School,Wuxi 214400,China
关键词:
亚纯函数 正规族 例外函数
Keywords:
m eromo rph ic function norm a l fam ily exceptiona l function
分类号:
O174.52
摘要:
研究了亚纯函数的正规性,推广了徐焱和庞学成的正规定则.得到:设φ(0)是GC上的一列全纯函数族,且k∈N.设F是G上的一列亚纯函数族,且零点的级数为2,极点的级数至少为k+2.对于任意的f∈F,都有f(k)(z)+a1(z)f(k-1)(z)+…+ak(z)f(z)≠φ(z),这里的a1(z),a2(z),…,ak(z)是G上的全纯函数,则F在G正规.

参考文献/References:

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备注/Memo

备注/Memo:
Foundation item: Supported by the N at iona lNatu ral Science Foundation of China( 10671093) .
Corresponding author: Zheng Juan, m aster, m ajored in com plex analysis. E-m ail:z j913@ yeah. net
更新日期/Last Update: 2013-04-23