涉及非线性微分多项式的亚纯函数的周期性  

On the Periodicity of Meromorphic Functions Concerning Nonlinear Differential Polynomials

作　　者：付春雪 李效敏[1] Fu Chunxue;Li Xiaomin(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2024年第5期154-160,共7页Periodical of Ocean University of China

基　　金：中央高校基本科研业务费专项(3016000841964007);山东省自然科学基金项目(ZR2019MA029)资助。

摘　　要：本文利用Nevanlinna理论,研究了涉及一类非线性微分多项式的超越亚纯函数的周期性问题,并举例说明本文得到的主要定理的有关条件是最佳的。所得结果改进并推广了2018年王琼和扈培础的有关结果。In this paper,we study a periodicity question of transcendental meromorphic functions concerning a class of nonlinear differential polynomials by using Nevanlinna’s theory.An example is provided to illustrate that the main theorem obtained in this paper has an optimal assumption.The main results obtained in this paper also improve and extend the corresponding results proved by Wang Qiong and Hu Peichu in 2018.

关 键 词：NEVANLINNA理论 非线性微分多项式 亚纯函数 周期性 

分 类 号：O174.52[理学—数学]