Value sharing and differential equations

Suppose that f is a nonconstant entire function and L[f ] a linear differential polynomial in f with constant coefficients. In this paper, by considering the existence of the solutions of some differential equations, we find all the forms of entire functions f in most cases when f and L[f ] share two values counting multiplicities jointly. This result generalize some known results due to Rubel–Yang and Li–Yang.  2005 Elsevier Inc. All rights reserved