Some Further Results on Entire Functions That Share Fixed- Points

Abstract. In this paper, we study the uniqueness problem on entire functions sharing xed points and prove some theorems which are related to one famous problem of Hayman. 1. Introduction and main results In this paper, a meromorphic function will mean meromorphic in the whole complex plane. We say that two meromorphic functions f(z) and g(z) share a small function a(z) IM (ignoring multiplicities) when f −a and g−a have the same zeros. If f(z) and g(z) have the same zeros with the same multiplicities, then we sa