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Fungrim entry: 4257f4

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

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

Topics using this entry

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2021-03-15 19:12:00.328586 UTC