一类多值解析函数的计算问题

The Calculation Problem of One Type of Many-valued Analytic Function

考虑形如W=nP(z)的一类多值解析函数,其中n≥2,P(z)为z的多项式函数。认为该类函数实际应是由W=nX,而X=P(z)复合而成。指出了主幅角argz和argX在计算中的关键性作用,确定了计算结果的唯一性,改正了现有教材中的错误。

Abstract： W = n√P-（z） - shaped such as a class of many - valued analytic function to be considered, one of n≥2, P（z） for z of the polynomial function. Such function should be considered practical by the W=n√X, and X=P（z） compound formed. The main argument argz and argX in the calculation of the key role been pointed out, the uniqueness of calculation results been identified, errors in the existing materials have been corrected.