On Unicity of Meromorphic Functions and Their Derivatives 

Abstract:

      In this paper, we prove the following theorem: Suppose that k , n be two positive integers, and a , b , w be three finite complex numbers with aⁿ≠bⁿ, wⁿ=1 . If a meromorphic function f(z) and its k-th derivative f^(k)(z) share two finite set S₁={awⁱ| i=1,2,…, n} , S₂={bwⁱ| i=1,2,…,n} , then f(z)=tf^(k)(z) , where tⁿ=1.