Fungrim entry: aca420

\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C} \cup \left\{{\tilde \infty}\right\}} W_{k}\!\left(z\right) = \left\{\right\}

Assumptions:

k \in \mathbb{Z}

TeX:

\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C} \cup \left\{{\tilde \infty}\right\}} W_{k}\!\left(z\right) = \left\{\right\}

k \in \mathbb{Z}

Definitions:

Fungrim symbol	Notation	Short description
`LambertW`	$W\!\left(z\right)$	Lambert W-function
`CC`	$\mathbb{C}$	Complex numbers
`UnsignedInfinity`	${\tilde \infty}$	Unsigned infinity
`ZZ`	$\mathbb{Z}$	Integers

Source code for this entry:

Entry(ID("aca420"),
    Formula(Equal(Poles(LambertW(z, k), ForElement(z, Union(CC, Set(UnsignedInfinity)))), Set())),
    Variables(k),
    Assumptions(Element(k, ZZ)))

Topics using this entry

Lambert W-function

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