Definition:Omega Constant

Definition
The omega constant $\Omega$ is the constant as the value of the principal branch of the Lambert W function at $1$:


 * $\Omega \, e^ \Omega = 1$

That is, it is the root of the equation:
 * $x e^x = 1$

where $e$ denotes Euler's number.

Also see

 * Omega Constant is Transcendental