关于f'(z)=Δ_(c)f(z)的分担值性质  

On the shared-value properties of f'(z)=Δ_(c)f(z)

作　　者：张佳欣 陈省江 ZHANG Jia-xin;CHEN Sheng-jiang(School of Mathematics and Statistics,Fujian Normal University,Fuzhou,Fujian 350117,China;College of Mathematics and Physics,Ningde Normal University,Ningde,Fujian 352100,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]宁德师范学院数理学院,福建宁德352100

出　　处：《宁德师范学院学报(自然科学版)》2024年第4期343-349,共7页Journal of Ningde Normal University(Natural Science)

基　　金：国家自然科学基金项目(12001211);宁德师范学院科研创新团队(2019T01);福建省自然科学基金项目(2022J011212)。

摘　　要：探讨并研究f(z)的导数、位移算子与差分算子之间的关系。利用Nevanlinna理论更进一步地讨论了复微分-差分方程f'(z)=Δ_(c)f(z).此外还得到了整函数的位移算子与其一阶差分和二阶差分CM分担一个值的唯一性。The relationship among the derivative,shift operator and difference operator of f(z)is discussed and studied.The complex differential-difference equation f'(z)=Δ_(c)f(z)is further discussed by using Nevan⁃linna theory.In addition,we obtain the uniqueness of shift operators of entire function sharing one value CM with its first-order and second-order difference operators.

关 键 词：整函数 导数 差分 分担值 

分 类 号：O174.5[理学—数学]