Real-valued exponential function over the complex plane
The function f(z) = exp(z) + 1 is graphed over the real axis and the over the complex numbers for which f(z) is real-valued. This restricted domain consists of complex numbers for which the imaginary part is a multiple of pi (this includes the x-axis). Notice that the famous solution z = i*pi is shown graphically.
Dr. John Gresham
Tarleton State University