Notes on Logarithmic Function and Complex Powers

Abstract

Theory of complex function is an important branch of mathematics. It has important application in a lot of natural sciences. Basic research content in the complex function is logarithmic function. This paper studies the definition of logarithmic function, and starting from the definition, it is obtained that logarithmic of complex product equal the sum of logarithmic and other basic properties. As accessory of logarithmic function, we guide the strict definition of the complex power.