On The Iterated Exponent of Convergence of Solutions of Linear Differential Equations

Abstract

In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f^{(k)}+A_{k-1}f^{(k-1)}+...+A₀f=0 for k≥2 and small functions, where A_{j} (j=0,1,...,k-1) are meromorphic functions of finite iterated p-order