[1]王品玲,王立庆.亚纯函数的Picard例外集[J].南京师范大学学报(自然科学版),2011,34(04):26-32.
 Wang Pinling,Wang Liqing.Picard Exceptional Sets for Meromorphic Functions[J].Journal of Nanjing Normal University(Natural Science Edition),2011,34(04):26-32.
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亚纯函数的Picard例外集()
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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34卷
期数:
2011年04期
页码:
26-32
栏目:
数学
出版日期:
2011-12-20

文章信息/Info

Title:
Picard Exceptional Sets for Meromorphic Functions
作者:
王品玲王立庆
上海立信会计学院数学与信息学院,上海201620
Author(s):
Wang PinlingWang Liqing
School of Mathematics and Information,Shanghai Lixin University of Commerce,Shanghai 201620,China
关键词:
整函数亚纯函数Picard 例外集ε 集
Keywords:
entire functionmeromorphic functionPicard setε set
分类号:
O174.52
摘要:
证明了如果f(z)是超越亚纯函数,满足δ(∞,f)>0,n,k为正整数且满足n≥k+2,则存在一列趋于∞的小圆盘,使得(fn)(k)在这列小圆盘外取任何有穷非零复数无穷多次.
Abstract:
In this paper we prove that if f( z) is a transcendental meromorphic function satisfying δ( ∞,f) > 0,and n,k are positive integers satisfying n≥k + 2,then there exists a sequence of small disks whose centers tend to infinity such that ( fn ) ( k) takes each finite nonzero complex value infinitely times outside these disks.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 数学与应用数学学科建设上海市财政支持项目( 1130IA15) 、统计学学科建设上海市财政支持项目( 1131IA09) .通讯联系人: 王品玲,博士,副教授,研究方向: 复分析及其应用. E-mail: wangpinling@ lixin. edu. Cn
更新日期/Last Update: 2013-03-21