Portal:Mathematics/Featured picture/2008 08

The exponential function is one of the most important functions in mathematics. It can be written in the form ${\displaystyle e^{x}}$, where e is a mathematical constant, sometimes known as Euler's number.

The exponential function exists for any complex number. Plotted above are the real part (left) and the imaginary part (right) of various values of the exponential function in the complex plane.