Value sharing and differential equations

被引:6
作者
Li, P [1 ]
机构
[1] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China
关键词
entire function; differential equation; value sharing;
D O I
10.1016/j.jmaa.2005.01.068
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Suppose that f is a nonconstant entire function and L[f] a linear differential polynomial in f with constant coefficients. In this paper, by considering the existence of the solutions of some differential equations, we find all the forms of entire functions f in most cases when f and L[f] share two values counting multiplicities jointly. This result generalize some known results due to Rubel-Yang and Li-Yang. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:412 / 423
页数:12
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