In this paper, we investigate the iteratedorder of solutions of higher order homogeneous and nonhomogeneous lineardifferential equations\begin{equation*}A_{k}\left( z\right) 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=0\end{equation*}%and%\begin{equation*}A_{k}\left( z\right) 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=F\left( z\right) ,\end{equation*}%where $A_{0}\left( z\right) \not\equiv 0,A_{1}\left( z\right) ,\cdots,A_{k}\left( z\right) \not\equiv 0$ and $F\left( z\right) \not\equiv 0$ areentire functions of finite iterated $p-$order. We improve and extend someresults of He, Zheng and Hu; Long and Zhu by using the concept of theiterated order and we obtain general estimates of the iterated convergenceexponent and the iterated $p$-order of solutions for the above equations.
@article{4529,
title = {On the Fast Growth of Solutions to Higher Order Linear Differential Equations with Entire Coefficients},
journal = {Novi Sad Journal of Mathematics},
volume = {46},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/4529}
}
Belaidi, Benharrat; SAIDANI, Mansouria; SAIDANI, Mansouria. On the Fast Growth of Solutions to Higher Order Linear Differential Equations with Entire Coefficients. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/4529/