The uniqueness of an entire function sharing a small entire function with its derivatives

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Wang, Jun¹  Li, Xiao-Min² 

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Ocean Univ China, Dept Math, Qingdao 266071, Shandong, Peoples R China

关键词: Entire functions;    Order of growth;    Shared values;    Uniqueness theorems;   

DOI  :  10.1016/j.jmaa.2008.12.067

来源: Elsevier

【 摘 要 】

In this paper. we prove a theorem on the growth of a solution of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its derivatives sharing a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free