The uniqueness of the entire functions whose n-th powers share a small function with their derivatives

In this paper, we prove the following result: Let f(z) be a transcendental entire function, Q(z) . 0 be a small function of f(z), and n . 2 be a positive integer. If f n(z) and (f n(z)). share Q(z) CM, then f(z)=ce1nz, where c is a nonzero constant. This result extends Lv.s result from the case of polynomial to small entire function.