The Complex Oscillation of Regular Meromorphic Solutions of A Class of Higher Order Linear Differential Equations

We investigate the properties of growth of meromorphic solutions of a class of higher order homogeneous and non-homogeneous linear differential equations with meromorphic coefficients.we obtain that every nonzero meromorphic solution of the homogeneous equations is regular with infinite order,and obtain precise estimate of the hyper-order of meromorphic solutions.We also obtain some precise estimates of the regular order of growth and the hyper-exponent of convergence of distinct zeros of meromorphic solutions of the non-homogeneous equations.The results improve previous results of Chen Zongxuan,Benharrat Belaidi.