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Fungrim entry: 8654a3

W ⁣(xex)=xW\!\left(x {e}^{x}\right) = x
Assumptions:x∈[−1,∞)x \in \left[-1, \infty\right)
TeX:
W\!\left(x {e}^{x}\right) = x

x \in \left[-1, \infty\right)
Definitions:
Fungrim symbol Notation Short description
LambertWW ⁣(z)W\!\left(z\right) Lambert W-function
Expez{e}^{z} Exponential function
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("8654a3"),
    Formula(Equal(LambertW(Mul(x, Exp(x))), x)),
    Variables(x),
    Assumptions(Element(x, ClosedOpenInterval(-1, Infinity))))

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2021-03-15 19:12:00.328586 UTC