Fatou sets of entire solutions of linear differential equations

This paper is devoted to studying the dynamical properties of solutions of f″+A(z)f=0, where A(z) is an entire function of finite order. With some added conditions on A(z), we prove that all the Fatou components of E(z) are simply-connected provided that E=f1f2 and f1,f2 are two linearly independent solutions of such equations.