Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 65, pp. 1-12.

Title: Growth of solutions of higher-order linear
       differential equations

Author: Karima Hamani (Univ. of Mostaganem, Algeria)

Abstract:
 In this article, we study the growth of
 solutions of the linear differential equation
 $$
 f^{(k)}+(A_{k-1}(z)e^{P_{k-1}(z)}+B_{k-1}(z)) f^{(k-1)}+\dots
 +(A_0(z)e^{P_0(z)}+B_0(z))f=0,
 $$
 where $k\geq 2$ is an integer, $P_j(z)$  are nonconstant
 polynomials  and  $A_j(z), B_j(z)$ are entire functions,
 not identically zero. We determine the hyper-order of these
 solutions, under certain conditions.
 	 
Submitted February 3, 2010. Published May 08, 2010.
Math Subject Classifications: 34A20, 30D35.
Key Words: Linear differential equation; entire function;
           hyper-order.