解析函数的周期复合边值问题

Compound Riemann-Hilbert's Boundary Value Problem with Periodicity for Analytic Functions

对于解析函数类中的周期复合边值问题,先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复合边值问题,然后分别通过求解Riemann边值问题和Hilbert边值问题的一系列转化,给出周期复合边值问题解的表达形式.

For compound boundary value problem with periodicity in the class of analytic functions, we can transform into a class of Riemann-Hilbert's boundary value problems, which are constracted outside the domain, by using comformal mapping method. Then we represent the solution of corresponding compound boundary value problem with periodicity.