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Fungrim entry: 4257f4

Im ⁣(W0 ⁣(z))<π\left|\operatorname{Im}\!\left(W_{0}\!\left(z\right)\right)\right| \lt \pi
Assumptions:zCz \in \mathbb{C}
TeX:
\left|\operatorname{Im}\!\left(W_{0}\!\left(z\right)\right)\right| \lt \pi

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
ImIm ⁣(z)\operatorname{Im}\!\left(z\right) Imaginary part
LambertWWk ⁣(z)W_{k}\!\left(z\right) Lambert W-function
ConstPiπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("4257f4"),
    Formula(Less(Abs(Im(LambertW(0, z))), ConstPi)),
    Variables(z),
    Assumptions(Element(z, CC)))

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2019-06-18 07:49:59.356594 UTC