SHARED VALUES, PICARD VALUES AND NORMALITY

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	SHARED VALUES, PICARD VALUES AND NORMALITY
	Chang, Jianming 1; Wang, Yuefei2
	2011-06-01
发表期刊	TOHOKU MATHEMATICAL JOURNAL
ISSN	0040-8735
卷号	63 期号:2 页码:149-162
摘要	It is known that a family of meromorphic functions is normal if each function in the family shares a 3-element set with its derivative. In this paper we consider value distribution and normality problems with regard to 2-element shared sets. First we construct an example, by use of the Weierstrass doubly periodic functions, to show that a 3-element shared set can not be reduced to a 2-element shared set in general. We obtain a new criterion of normal families and new Picard-type theorems. The proofs make use of some results in complex dynamics. More examples are constructed to show that our assumptions are necessary.
关键词	Meromorphic functions normality shared values and sets
语种	英语
资助项目	NNSF of China[10871094] ; NSFU of Jiangsu, China[08KJB110001] ; Qinglan Project of Jiangsu, China ; SRF for ROCS, SEM ; NNSF ; 973 Projects of China
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000294311900001
出版者	TOHOKU UNIVERSITY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11997
专题	数学所
通讯作者	Chang, Jianming
作者单位	1.Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS & HLK Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chang, Jianming,Wang, Yuefei. SHARED VALUES, PICARD VALUES AND NORMALITY[J]. TOHOKU MATHEMATICAL JOURNAL,2011,63(2):149-162.
APA	Chang, Jianming,&Wang, Yuefei.(2011).SHARED VALUES, PICARD VALUES AND NORMALITY.TOHOKU MATHEMATICAL JOURNAL,63(2),149-162.
MLA	Chang, Jianming,et al."SHARED VALUES, PICARD VALUES AND NORMALITY".TOHOKU MATHEMATICAL JOURNAL 63.2(2011):149-162.