Schwarz引理的推广及应用综述  

The Promotion and Application of Schwarz Lemma

作　　者：程晓亮[1] 邬昊然 迟明月 CHENG Xiao-liang;WU Hao-ran;CHI Ming-yue(College of Mathematics,Jilin Normal University,Jilin Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《白城师范学院学报》2018年第10期6-12,24,共8页Journal of Baicheng Normal University

基　　金：国家自然科学基金(11301215);吉林省教育厅"十三五"科学技术项目(JJKH20170369kj)

摘　　要：Schwarz引理是复分析中最基本的定理之一,具有广泛的应用价值.本文引入Schwarz引理的多种推广,然后应用Schwarz引理及其推广去证明一些定理和结论.Schwarz lemma is one of the most basic theorem of complex analysis,also has extensive application value.Here is the first introduction of a variety of promotion of Schwarz lemma,finally Schwarz lemma and its application,to prove some theorems and conclusions.

关 键 词：解析函数 单位圆 最大模原理 SCHWARZ引理 

分 类 号：O174.5[理学—数学]