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Fungrim entry: c0ae5b

{Wk ⁣(z):k∈Z  and⁡  z∈C  and⁡  (z≠0  or⁡  k=0)}=C\left\{ W_{k}\!\left(z\right) : k \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \left(z \ne 0 \;\mathbin{\operatorname{or}}\; k = 0\right) \right\} = \mathbb{C}
TeX:
\left\{ W_{k}\!\left(z\right) : k \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \left(z \ne 0 \;\mathbin{\operatorname{or}}\; k = 0\right) \right\} = \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
LambertWW ⁣(z)W\!\left(z\right) Lambert W-function
ZZZ\mathbb{Z} Integers
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("c0ae5b"),
    Formula(Equal(Set(LambertW(z, k), For(Tuple(k, z)), And(Element(k, ZZ), Element(z, CC), Or(NotEqual(z, 0), Equal(k, 0)))), CC)))

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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