Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations

Advances in Difference Equations

Junfeng Xu¹  Zhanliang Zhang² 

[1] Department of Mathematics, Hunan University, Changsha, P.R. China;Department of Mathematics, Wuyi University, Jiangmen, P.R. China

关键词: meromorphic function;    growth order;    fixed point;   

DOI  :  10.1186/1687-1847-2013-370

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the growth and fixed points of meromorphic solutions and their derivatives of higher-order nonhomogeneous linear differential equations with meromorphic coefficients. Our results extend the previous theorems due to Gundersen and Yang, Han and Yi. As an application of our results, we generalized some previous results that are related to Brück’s conjecture. MSC:34M10, 30D35.

【 授权许可】

CC BY