Growth of Solutions of Nonhomogeneous Linear Differential Equations

Abstract

This paper is devoted to studying growth of solutions of linear differential equations of type $f^{\left(k\right)}+A_{k-1}\left(z\right)f^{\left(k-1\right)}+\cdots +A_1\left(z\right)f^{\prime }+A_0\left(z\right)f=H\left(z\right)$ where $A_j\left(j=0,\dots ,k-1\right)$ and $H$ are entire functions of finite order.