高阶线性微分方程解的超级与超级零点收敛指数

Hyper Order and Hyper-convergence Exponent of Zeros of Solutions of Higher Order Linear Differential Equations

研究了亚纯函数系数的高阶齐次和非齐次线性微分方程的复振荡,得到了解的超级和超级零点收敛指数的估计。

In this paper, we studied the complex oscillation of higher order homogeneous linear differen-tial equations with meromorphic coefficients.We obtained the estimations of hyper order and hyper-conver-gence exponent of zeros of solutions.