Copyright © 2012 Wei Liu and Zong-Xuan Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate relations between solutions, their derivatives of differential equation f(k)+Ak−1f(k−1)+⋯+A1f’+A0f=0, and functions of small growth, where Aj  (j=0,1,…,k−1) are entire functions of finite order. By these relations, we see that every transcendental solution and its derivative of above equation have infinitely many fixed points.