Normal families and uniqueness theorem of holomorphic functions

Kodai Mathematical Journal

Hongxun Yi³  Feng Lü¹  Kai Liu² 

[1] Department of Mathematics China University of Petroleum;Department of Mathematics Nanchang University;Department of Mathematics Shandong University

关键词: Entire functions;    Uniqueness;    Nevanlinna theory;    Normal family;    Differential equation;   

DOI  :  10.2996/kmj/1278076338

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)In the paper, we have two purposes. Firstly, we prove two theorems and two corollaries of normal families which improve and generalize some results of Pang and Zalcman [9], Zhang, Sun and Pang [13], Chang and Fang [2]. Secondly, we use the theory of normal families and differential equations to obtain a uniqueness theorem of entire function which is an improvement of Chang and Fang [1].

【 授权许可】

Unknown