Definition:Omega Constant
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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.
Decimal Expansion
The decimal expansion of the omega constant $\Omega$ starts:
- $0 \cdotp 56714 \, 32904 \, 097838 \, 72999 \, 96866 \, 22 \ldots$
Also see
- Results about the omega constant can be found here.
Sources
- Weisstein, Eric W. "Omega Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/OmegaConstant.html