Definition:Lambert W Function/Principal Branch/Real Valued
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Definition
The principal branch of the Lambert W function is the real function $W_0: \hointr {-\dfrac 1 e} \to \to \hointr {-1} \to$ such that:
- $x = \map {W_0} x e^{\map {W_0} x}$
Also denoted as
When the principal branch is the only branch under consideration, the subscript is sometimes omitted:
- $x = \map W x e^{\map W x}$
Source of Name
This entry was named for Johann Heinrich Lambert.