Topic summary
Complex exponential
Extracted from the Wikipedia article Exponential function.
Complex exponential
The exponential function can be naturally extended to a complex function, which is a function with the complex numbers as domain and codomain, such that its restriction to the reals is the above-defined exponential function, called real exponential function in what follows. This function is also called the exponential function, and also denoted or . For distinguishing the complex case from the real one, the extended function is also called complex exponential function or simply complex exponential.
