Some results about functions that share functions with their derivative of higher order

Advances in Difference Equations

Feng L¹  Jianming Qi²  Wenjun Yuan³ 

[1] College of Science, China University of Petroleum, Qingdao, P.R. China;Department of Mathematics and Physics, Shanghai Dianji University, Shanghai, P.R. China;School of Mathematics and Information Science, Guangzhou University, Guangzhou, P.R. China

关键词: complex differential equation;    entire function;    normal family;    Nevanlinna theory;   

DOI  :  10.1186/1687-1847-2013-192

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the growth of some functions that share functions with their derivative of higher order. The first main theorem is an improvement of the result obtained by Lü (Bull. Korean Math. Soc. 48: 951-957, 2011), two examples are given to show that the conclusion is sharp. The second main theorem is of estimating, more exactly, the order of an entire function sharing polynomial, which extends the related result of Lü, Xu and Chen (Arch. Math. 92: 593-601, 2009). MSC:30D35, 30D45.

【 授权许可】

CC BY