中国海洋大学学报(自然科学版)2024,Vol.54Issue(5):154-160,7.DOI:10.16441/j.cnki.hdxb.20230188
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
摘要
Abstract
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Key words
Nevanlinna's theory/nonlinear differential polynomial/meromorphic function/periodicity分类
数理科学引用本文复制引用
付春雪,李效敏..涉及非线性微分多项式的亚纯函数的周期性[J].中国海洋大学学报(自然科学版),2024,54(5):154-160,7.基金项目
中央高校基本科研业务费专项(3016000841964007) (3016000841964007)
山东省自然科学基金项目(ZR2019MA029)资助 Supported by the Fundamental Research Funds for the Central Universities(3016000841964007) (ZR2019MA029)
the Natural Science Foundation of Shandong Province(ZR2019MA029) (ZR2019MA029)