对称原理的进一步推广及研讨

利用分式线性照射,把关于两圆周对称的区域,分别照射成关于实轴对称的两区域,然后再建立后面这两个区域间的分式线性照射,最后利用代入法化简整理,便于得到关于两圆周对称的区域间的照射;同时还证得了在扩充的定义区域内上述函数的解析性态,以便于研究这些解析函数.

Further extension and research of the symmetry principle

Use the linear mapping of fraction to transform separately the symmetric domains of the two circles into the symmetric ones of the two real axis and then to establish the linear mapping of fraction between the later two domains. Finally, substitution method is used to reduce the algorithm and to arrange it. As a result, comes out the mapping of the symmetric domains of the two circles. Besides, the analytic natural state is proved in the extended domains for the study of these analytic functions.