摘要

In this paper, we show that for any finite order entire function f(z), the function of the form f (z)(n)[f(z+c)-f(z)](s) has no nonzero finite Picard exceptional value for all nonnegative integers n, s satisfying n >= 3, which can be viewed as a difference result on Hayman conjecture. We also obtain some uniqueness theorems for difference polynomials of entire functions sharing one common value.