上半平面（upper half-plane）H是一数学名词，是指由虚部为正的复数组成的集合。
借助保形变换将单连通区域及其边界化为上半平面与实轴。
With the help of the conformal transformation, we transform a simply connected region and its boundary into the upper half plane and real axis.
同时建立了另一类上半平面解析函数在其分布边值意义下的积分公式。
And the distributed boundary value's integral formula of another set of analytic function in upper half-plane is established.
目的为了对上半平面极限映射的参数空间进行有效划分，构造出了相应的广义M集。
To effectively divide the parameter space of the mapping of upper halfplane limit, we construct relevant generalized M sets.
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