关于复域中指数函数的代数性质探讨

The Algebraic Properties of Exponential Function in the Complex Domain

复域中的指数函数是多值函数,与实域中的指数函数有不同的代数性质。一般教材中不涉及多值函数的复合问题,本文利用对数函数与幂函数这2个多值函数的复合,证明,,并得出关于复域中指数函数的代数性质。

The properties of exponential function in the complex domain are different from that in the real domain.Now there is no testbook that involves researching compound multi-valued function,here we use the compound of power function and logarithm function to prove,,and draw on the algebraic properties of exponential function in the complex domain.