一类复微分-差分方程的亚纯解  

Meromorphic Solutions of a Type of Complex Differential-Difference Equations

作　　者：任国珍 高凌云[1] REN Guozhen;GAO Lingyun(Department of Mathematics,Jinan University,Guangzhou 510632,China)

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《应用数学》2020年第3期607-613,共7页Mathematica Applicata

摘　　要：本文研究一类复微分-差分方程的亚纯解的性质和表达式问题,利用亚纯函数的Nevanlinna值分布理论来证明,并得到一些结论,所得结论是从复差分方程到复微分差分方程的推广.例子表明我们的结果是有意义的.Using Nevanlinna theory of the value distribution of meromorphic functions,we investigate the properties and expression of meromorphic solutions of a type of complex differential-difference equation,and we obtain some results,which are the extensions of complex difference equations to differential-difference equations.Example shows that our results are meaningful.

关 键 词：复微分-差分方程 亚纯解 值分布理论 

分 类 号：O174.52[理学—数学]