Normal families and uniqueness of entire functions and their derivatives

doi:10.1007/s10114-005-0861-5

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	Normal families and uniqueness of entire functions and their derivatives
	Chang, Jiang Ming ; Fang, Ming Liang
	2007-06-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	23 期号:6 页码:973-982
摘要	Let f be a nonconstant entire function; let k >= 2 be a positive integer; and let a be a nonzero complex number. If f(z) = a double right arrow f'(z) = a, and f'(z) = a double right arrow f((k))p(z) = a, then either f = Ce-lambda z + a or f = Ce-lambda z + a(lambda - 1)/lambda, where C and lambda are nonzero constants with lambda(k-1) = 1. The proof is based on the Wiman-Valiron theory and the theory of normal families in an essential way.
关键词	entire function normal family unicity theorem
DOI	10.1007/s10114-005-0861-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000246582100003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4857
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, Jiang Ming
作者单位	1.Changshu Inst Technol, Dept Math, Changshu 215500, Peoples R China 2.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China 3.S China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100800, Peoples R China
推荐引用方式 GB/T 7714	Chang, Jiang Ming,Fang, Ming Liang. Normal families and uniqueness of entire functions and their derivatives[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(6):973-982.
APA	Chang, Jiang Ming,&Fang, Ming Liang.(2007).Normal families and uniqueness of entire functions and their derivatives.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(6),973-982.
MLA	Chang, Jiang Ming,et al."Normal families and uniqueness of entire functions and their derivatives".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.6(2007):973-982.