Linear differential equations with fast-growing coefficients in complex plane

Abstract

In this paper, we give new conditions on the fast-growing entire and meromorphic coefficients of linear complex differential equations to estimate the iterated $p$-order and iterated $p$-type of all solutions, where $p\in \mathbb{N}\backslash \{0,1\}$. We also, give an improvement to some previous results, as in \cite{hamouda}.