关键词: 多值解析函数； 支点； 单值分支； 连续变化法

Abstract:

With the help of continuous variation method and the explement principle, the singlevalue branch problem for general multiplevalued function was discussed. The fulcrum criterion theorem and singlevalue branch explicit were shown in the two cases of R and C, so are shown those for two special states.

Key words: multiplevalued analytic function； fulcrum； singlevalue branch； continuous variation method