Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 157, pp. 1-8.
Title: Linear differential equations with entire
coefficients having the same order and type
Author: Nacera Berrighi (Univ. of Mostaganem, Algeria)
Saada Hamouda (Univ. of Mostaganem, Algeria)
Abstract:
In this article, we study the growth of solutions to the
differential equation
$$
f^{k}+(A_{k-1}(z)e^{P_{k-1}(z)}e^{\lambda z^m}
+B_{k-1}(z))f^{k-1}+\dots
+(A_0(z)e^{P_0(z)} e^{\lambda z^m}+B_0(z))f=0,
$$
where $\lambda \in \mathbb{C}^{\ast}$, $m\geq 2$ is an
integer and $\max_{j=0,\dots ,k-1}\{ \deg P_j(z)\}