双解析函数Schwarz问题的2种新解法  

Two New Solutions of Schwarz Problem of Bi-analytic Functions

作　　者：胡琳[1] 曾招云[1] 

机构地区：[1]平顶山学院数学与信息科学学院,河南平顶山467000

出　　处：《南昌大学学报（工科版）》2012年第4期406-408,共3页Journal of Nanchang University(Engineering & Technology)

基　　金：河南省教育厅自然科学研究资助项目(2010C110002)

摘　　要：利用2种方法去寻求单位圆上双解析函数的Schwarz问题的解:一是对双解析函数的Schwarz问题分解后再求解;二是先把双解析函数的Schwarz问题转化为解析函数的Schwarz问题,然后再求解;2种解法都得到了解的积分表示,并得到了双解析函数的Hilbert公式。Two methods were used to seek the solution of Schwarz problem of bi-analytic functions on the unit circle.The problem was solved by decomposing the Schwarz problem of bi-analytic functions.Meanwhile,the original problem was solved by turning the Schwarz problem of bi-analytic functions into Schwarz problem of analytic functions.The integral formula of the solution was obtained by the two methods,and the Hilbert formula of bi-analytic functions was also got.

关 键 词：双解析函数 Schwarz问题 Schwarz公式 Hilbert公式 

分 类 号：O174.5[理学—数学]