Entire functions that share a small function with its derivative

In this paper, by studying the properties of meromorphic functions which have few zeros and poles, we find all the entire functions f (z) which share a small and finite order meromorphic function a(z) with its derivative, and f (n)(z) − a(z) = 0 whenever f (z) − a(z) = 0 (n 2). This result is a generalization of several previous results. © 2006 Elsevier Inc. All rights reserved