Schwarz引理的一个注记

摘要

本文中,基于幅角原理和同论理论紧密联系的想法,我们对单复变中经典的Sdlwarz引理给出了一个新的证明.同时,运用同样的方法,我们把Schwarz引理推广到亚纯函数和多连通区域的情形.%In this paper,basing on the idea of the connection between the argument principle and the homotopic theory we present a new proof of the classical Schwarz Lemma in the one complex variable.At the same time,using the similar method we generalize the Schwarz Lemma on the conditions of meromorphic function and multiple connected domain.