本文研究亚纯系数的高阶线性微分方程,当方程系数满足一定条件时,得到方程的每一非零亚纯解具有无穷级且超级为,n.此外,还研究了非齐次线性微分方程的亚纯解.
In this paper,we investigate the higher order linear differential equations with meromor- phic coefficients. When the coefficients of the equation satisfy some conditions,we prove that every meromorphic solution f(z)(≠ O) of it is of infinite order and hyper-order n. In addition, we also consider meromorphic solutions of the nonhomogeneous linear differential equation.