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Fungrim entry: 82926c

Im ⁣(W1 ⁣(z))(0,3π)\operatorname{Im}\!\left(W_{1}\!\left(z\right)\right) \in \left(0, 3 \pi\right)
Assumptions:zC{0}z \in \mathbb{C} \setminus \left\{0\right\}
TeX:
\operatorname{Im}\!\left(W_{1}\!\left(z\right)\right) \in \left(0, 3 \pi\right)

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
ImIm(z)\operatorname{Im}(z) Imaginary part
LambertWW ⁣(z)W\!\left(z\right) Lambert W-function
OpenInterval(a,b)\left(a, b\right) Open interval
Piπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("82926c"),
    Formula(Element(Im(LambertW(z, 1)), OpenInterval(0, Mul(3, Pi)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC