某类线性微分方程亚纯解的增长性

On the growth of meromorphic solutions of a class of linear differential equations

研究了一类亚纯函数系数的线性微分方程的解的增长性问题,得到了齐次和非齐线性微分方程亚纯解的增长级、超级、二级不同零点收敛指数的精确估计.

Studying the properties of growth of solutions of a class of linear differential equations with meromorphic coefficients, and obtain some precise estimates of the order of growth,the hyper-order and the hyperexponent of convergence of sequence of distinct zeros of homogeneous and non-homogeneous linear differential equations.