On the uniqueness problems of entire functions and their linear   differential polynomials
  The uniqueness problems on transcendental meromorphic or entire functions sharing at least two values with their derivatives or linear differential polynomials have been studied and many results have been obtained. In this paper, we study a transcendental entire function f that shares a non-zero polynomial a with f', together with its linear differential polynomials of the form with rational function coefficients. 
Qi Han and Hongxun Yi
math.CV