修正α—亏量及满亏量问题

A Modified α- deficiency and problem of maximum sums of modified α- deficiencies

本文讨论超亚纯函数的修正α-亏量,得到亏量关系:并解决了一个满亏量问题:若则f(z)的级是整数。

In this paper, we obtain a relation of modified α- deficiencies of transcendental meromorphic functions as following: ∑{δα(α)+θα(α)}≤∑α α(α)≤2 . We discuss a prob-km of maximum sums of modified α- deficiencies and obtain that if ∑δαδα(α,f) = 2,then theorder of f(z) is a positive integral number.