On some complex differential and difference equations concerning sharing function

被引:0
作者
Hua Wang
Lian-Zhong Yang
Hong-Yan Xu
机构
[1] Jingdezhen Ceramic Institute,Department of Informatics and Engineering
[2] Shandong University,Department of Mathematics
来源
Advances in Difference Equations | / 2014卷
关键词
entire function; Brück’s conjecture; difference equation;
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中图分类号
学科分类号
摘要
By using the theory of complex differential equations, the purpose of this paper is to investigate a conjecture of Brück concerning an entire function f and its differential polynomial L(f)=ak(z)f(k)+⋯+a0(z)f sharing a function α(z) and a constant β. We also study the problem on entire function and its difference polynomials sharing a function.
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