双解析函数的周期Riemann边值问题

The Riemann's Boundary Value Problem with Periodicity for Bianalytic Funnctions

对于双解析函数类中的周期Riemann边值问题,利用保角映射转化为扩充复平面上一个在外域具有一定限制的双解析函数类中的Riemann边值问题,再通过求解双解析函数类中的Riemann边值问题,给出周期Riemann边值问题解的表达形式.

For Riemann＇s boundary value problem with peeiodicity in the class of bianalytic functions, we can transform into a class of riemann＇s boundary value problems for bianalytic functions,which are constracted outside the domain,by using comformal mapping method. Then we represent the solution of corresponding boundary value problem with peeiodicity.