Fungrim entry: 8654a3

W_{0}\!\left(x {e}^{x}\right) = x

Assumptions:

x \in \left[-1, \infty\right)

TeX:

W_{0}\!\left(x {e}^{x}\right) = x

x \in \left[-1, \infty\right)

Definitions:

Fungrim symbol	Notation	Short description
`LambertW`	$W_{k}\!\left(z\right)$	Lambert W-function
`Exp`	${e}^{z}$	Exponential function
`ClosedOpenInterval`	$\left[a, b\right)$	Closed-open interval
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("8654a3"),
    Formula(Equal(LambertW(0, Mul(x, Exp(x))), x)),
    Variables(x),
    Assumptions(Element(x, ClosedOpenInterval(-1, Infinity))))

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.

2019-06-18 07:49:59.356594 UTC