一类复差分方程亚纯解的振荡性质

Complex Oscillation of Meromorphic Solutions of Some Difference Equations

该文利用Nevanlinna理论讨论了一类复差分方程亚纯解的振荡性质,包括零点和极点分布、增长级、以及方程可能的退化形式,其中方程系数与亚纯解的特征函数之间满足一定关系,推广了郑秀敏和陈宗煊的相关结果.

In this paper,the authors study the properties of some complex difference equations,such as the growth,the distribution of zeros and poles of the soultions,and the possible reduced form of the equations.The authors generalize the previous result of Zheng X M and Chen Z X.