一类高阶微分方程亚纯解的下级、超级、二级不同零点收敛指数

The Lower Order,Hyper-order and Hyper-exponent of Convergence of Distinct Zeros of Meromorphic Solutions of a Class of Higher Order Differential Equations

本文研究了一类高阶亚纯系数非齐次及齐次线性微分方程的复振荡.在亚纯解的极点重数无限制的前提下,得到了方程亚纯解的下级、超级、二级不同零点收敛指数等的精确估计.改进了陈宗煊、Ki-HoKwon等的结果.

In this paper,we investigate the complex oscillation of a class of higher non-homogeneous and homogeneous linear differential equations with meromorphic coefficients.We obtain some precise estimates of the lower order,hyper-order and hyper-exponent of convergence of distinct zeros of their meromorphic solutions without limitation on the multiplicity of their poles and improve the results of CHEN Zongxuan,Ki-Ho Kwon.