Fungrim entry: adf83a

\left|{\mu}_{k}\right| \lt 2 {\left(\frac{4}{5}\right)}^{k}

Assumptions:

k \in \mathbb{Z}_{\ge 0}

TeX:

\left|{\mu}_{k}\right| \lt 2 {\left(\frac{4}{5}\right)}^{k}

k \in \mathbb{Z}_{\ge 0}

Definitions:

Fungrim symbol	Notation	Short description
`Abs`	$\left\|z\right\|$	Absolute value
`LambertWPuiseuxCoefficient`	${\mu}_{k}$	Coefficient in scaled Puiseux expansion of Lambert W-function
`Pow`	${a}^{b}$	Power
`ZZGreaterEqual`	$\mathbb{Z}_{\ge n}$	Integers greater than or equal to n

Source code for this entry:

Entry(ID("adf83a"),
    Formula(Less(Abs(LambertWPuiseuxCoefficient(k)), Mul(2, Pow(Div(4, 5), k)))),
    Variables(k),
    Assumptions(Element(k, ZZGreaterEqual(0))))

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