亚纯函数与其导函数分担值的唯一性

On the Uniqueness of Meromorphic Functions and its Derivative Share Values

1996年,邱淦俤对亚纯函数与其导函数分担值的问题进行了研究,得到定理A,并在1997年将定理A推广到分担小函数的情况(定理B)。本文对这一问题做了进一步的讨论,将定理B进行了推广,使得定理B的条件弱化为可恒等于,而将定理B的结论统一归结为f(n) -b(n)a-b(n) =f-ba-b。

The authors have studied the uniqueness of meromorphic functions and its derivative share values. The condition of theorem B is weakened to “ a being able to equivalent to 0” ,and the conclusion is summaried to f (n) -b (n) a-b (n) =f-ba-b .