摘要
本文利用经典Nevanlinna理论,研究了超越整函数及其k阶导函数IM分担两个判别的有理函数的唯一性问题。所得结果推广了2000年邱凎俤得到的非常数整函数及其一阶导函数IM分担两个判别的小函数的相应结果,并在超越整函数及其k阶导函数IM分担两个判别的有理函数条件下肯定地回答了1999年李平和杨重骏提出的一个猜想问题。
In this paper,we study a uniqueness question of transcendental entire functions sharing two distinct rational functions IM with their k-th order derivatives.The main result obtained in this paper extends the corresponding result concerning non-constant entire functions sharing two distinct small functions IM with their first order derivatives,which was proved by Qiu Gangdi in 2000,and gives an affirmative answer to a conjecture proposed by Li Ping and Yang Chungchun in 1999 based upon the assunption that transcendental entire functions sharing two distinct rational functions IM with their k-th order derivatives.
作者
王洋
李效敏
Wang Yang;Li Xiaomin(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)
出处
《中国海洋大学学报(自然科学版)》
北大核心
2025年第S1期125-132,共8页
Periodical of Ocean University of China
基金
山东省自然科学基金项目(ZR2019MA029)资助
