Definition:Lambert W Function

Definition
Let $f: \C \to \C$ be a complex function where:
 * $f \left({z}\right) := z e^z$

where $e$ denotes Euler's number.

The Lambert W function, denoted $W \left({z}\right)$, is the inverse of $f$.

Also known as
The Lambert W function is also called:
 * Lambert-W function
 * Lambert W-function
 * Lambert's W function
 * The $\Omega$ (omega) function