一类具有极值亏量和的亚纯函数

Meromorphic Functions with Maximal Deficiency Sum

本文结合亚纯函数的导函数，得到一个更一般的亏量和不等式，并对其极值情形进行了讨论，在更广泛的条件下，证明了相应的Ｆ．Ｎｅｖａｎｌｉｎｎａ猜测．

In this paper we yield a inequality of the deficiency sum of any meromorphic function and its all order derived functions, and discuss some functions whose ail derived functions' deficiency sum arrives at maximum 2. Furthermore we prove F.Nevanlinna conjecture in this case.