摘要
为了进一步丰富圆环上亚纯函数的唯一性理论,寻找更好的唯一性条件,本文研究了圆环上重值及亏量对亚纯函数唯一性的影响,得到两个圆环上亚纯函数与其导数涉及重值及亏量的唯一性定理,所得结果丰富了圆环上亚纯函数的唯一性理论.
In this paper,in order to further enrich the uniqueness theory of meromorphic functions on annuli and find better uniqueness conditions,we investigate the influence of multiple values and deficiencies on the uniqueness of meromorphic functions on annuli,and obtain two uniqueness theorems of meromorphic functions and their derivatives which concern multiple values and deficiencies.These results enrich the uniqueness theory of meromorphic functions on annuli.
作者
谭洋
Tan Yang(School of Applied Mathematics,Beijing Normal University,Zhuhai 519085,China)
出处
《纯粹数学与应用数学》
2019年第4期469-481,共13页
Pure and Applied Mathematics
基金
国家自然科学基金(11871108)
北京师范大学珠海分校教师科研能力促进计划
关键词
圆环
亚纯函数
重值
亏量
唯一性
annulus
meromorphic function
multiple value
deficiency
uniqueness
