Some Precise Estimates of the Hyper Order of Solutions of Some Complex Linear Differential Equations

摘要

Let and denote respectively the order and the hyper order of an entire function In this paper, we obtain some precise estimates of the hyper order of solutions of the following higher order linear differential equations and where are nonconstant polynomials such that and are entire functions with . Under some conditions, we prove that every solution of the above equations is of infinite order and .