Properties of the Complex Exponential

We have previously defined the complex exponential function (   • Defining Complex Exponential and Trigonome...  ). We now prove the standard properties of the complex exponential. The real part of exp(z) is the exponential of the real part of z. Also, the standard rule exp(z+w) = exp(z)exp(w) remains valide for complex arguments. #mikethemathematician, #mikedabkowski, #profdabkowski, #complexnumbers, #complexanalysis