几类复微分-差分方程解的增长级  

The Growth of Solutions of Some Complex Differential-Difference Equations

作　　者：甘会林 GAN Huilin(School of Statistics and Mathematics,Guangdong University of Finance&Economics,Guangzhou Guangdong 510320,China)

机构地区：[1]广东财经大学统计与数学学院,广东广州510320

出　　处：《江西师范大学学报(自然科学版)》2025年第1期5-7,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：广东省自然科学基金(s2012010010376,2015A030313628)资助项目。

摘　　要：该文受已有文献的启发研究了4个复微分-差分方程,利用增长级小于1的超越亚纯函数的差分与导数之间的一个关系,得到这些方程的超越整函数解的增长级都大于或等于1.Four complex differential-difference equations are investigated in this paper,and the result is that the growth order of transcendental entire solutions of them must be at least one,by using the relationship between the derivatives and differences of transcendental meromorphic functions of order less than one.

关 键 词：复微分-差分方程 亚纯函数 增长级 

分 类 号：O174.52[理学—数学]