关于整函数一个性质的注记

Note of a proposition about entire function

讨论了整函数一个重要性质.设f(z)是一个不恒等于零的整函数,如果存在正常数r,M以及正整数k使得关系式Rf(z)≤M|z|k对所有满足|z|>r的z都成立,则f(z)是至多为k次的多项式.并从该性质出发讨论了关于整函数的若干其他结果.

In this paper, we prove a proposition about entire function, which is an outgrowth of Liouville Theorem.