摘要
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 a n≠b n , w n=1 . If a meromorphic function f(z) and its k-th derivative f (k) (z) share two finite set S 1={aw i | i=1,2,…, n} , S 2={bw i | i=1,2,…,n} , then f(z)=tf (k) (z) , where t n=1.
本文证明了如下结果：设ｋ，ｎ是两个正整数，ａ，ｂ，ｗ是三个有穷复数，满足ａｎ≠ｂｎ，ｗｎ＝１．如果一开平面上的亚纯函数ｆ（ｚ）以及它的ｋ阶导数ｆ（ｋ）（ｚ）分担两个集合Ｓ１＝｛ａｗｉ｜ｉ＝１，２，…，ｎ｝，Ｓ２＝｛ｂｗｉ｜ｉ＝１，２，…，ｎ｝，则ｆ（ｚ）≡ｔｆ（ｋ）（ｚ），其中ｔｎ＝１．
