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Fungrim entry: fdfb16

BranchCuts⁡ ⁣(W0 ⁣(z),z,C)={(−∞,−e−1]}\operatorname{BranchCuts}\!\left(W_{0}\!\left(z\right), z, \mathbb{C}\right) = \left\{\left(-\infty, -{e}^{-1}\right]\right\}
TeX:
\operatorname{BranchCuts}\!\left(W_{0}\!\left(z\right), z, \mathbb{C}\right) = \left\{\left(-\infty, -{e}^{-1}\right]\right\}
Definitions:
Fungrim symbol Notation Short description
LambertWW ⁣(z)W\!\left(z\right) Lambert W-function
CCC\mathbb{C} Complex numbers
OpenClosedInterval(a,b]\left(a, b\right] Open-closed interval
Infinity∞\infty Positive infinity
Expez{e}^{z} Exponential function
Source code for this entry:
Entry(ID("fdfb16"),
    Formula(Equal(BranchCuts(LambertW(z, 0), z, CC), Set(OpenClosedInterval(Neg(Infinity), Neg(Exp(-1)))))))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC