SOME FURTHER RESULTS ON ENTIRE FUNCTIONS SHARING A POLYNOMIAL WITH THEIR LINEAR DIFFERENTIAL POLYNOMIALS

Abstract

In this paper, we study the growth of all solutions of a linear differential equation. From this we obtain some uniqueness theorems of a nonconstant entire function and its linear differential polynomials having the same fixed points. The results in this paper also improve some known results. Two example are provided to show that the results in this paper are best possible.