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Fungrim entry: e5bba3

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

z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol Notation Short description
ImIm ⁣(z)\operatorname{Im}\!\left(z\right) Imaginary part
LambertWWk ⁣(z)W_{k}\!\left(z\right) Lambert W-function
OpenClosedInterval(a,b]\left(a, b\right] Open-closed interval
ConstPiπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("e5bba3"),
    Formula(Element(Im(LambertW(-1, z)), OpenClosedInterval(Neg(Mul(3, ConstPi)), 0))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, Set(0)))))

Topics using this entry

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

2019-06-18 07:49:59.356594 UTC