整函数的差分与其高阶导函数的唯一性  

Uniqueness of Difference of Entire Function and Its Higher Order Derivative Function

作　　者：马飞 王师文 常春龙 龙见仁[1] MA Fei;WANG Shiwen;CHANG Chunlong;LONG Jianren(Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学,贵州贵阳550025

出　　处：《龙岩学院学报》2024年第5期24-30,共7页Journal of Longyan University

基　　金：国家自然科学基金项目(12261023,11861023)。

摘　　要：利用亚纯函数Nevanlinna理论研究了整函数关于差分与其高阶导函数的唯一性问题,当f(z+c)或Δ_(c)f和f^((k))(z)CM分担a(z)时,获得了f(z)的具体形式,其中a(z)为f(z)的小函数。In this paper,the unicity of entire function concerning their difference and higher derivative is studied by using Nevanlinna theory of meromorphic functions and prove:let f(z)be a transcendental entire function of finite order.Let a(z)be a small function of f(z),if f(z+c)orΔ_(c) f and f^((k))(z)CM share a(z),then the specific form of f(z)is obtained.

关 键 词：整函数 导函数 差分算子 分担值 唯一性 

分 类 号：O174.52[理学—数学]