Fungrim entry: 693cfe

\operatorname{Ai}\!\left(0\right) = \frac{1}{{3}^{2 / 3} \Gamma\!\left(\frac{2}{3}\right)} \in \left[0.355028053887817239260063186004 \pm 1.84 \cdot 10^{-31}\right]

TeX:

\operatorname{Ai}\!\left(0\right) = \frac{1}{{3}^{2 / 3} \Gamma\!\left(\frac{2}{3}\right)} \in \left[0.355028053887817239260063186004 \pm 1.84 \cdot 10^{-31}\right]

Definitions:

Fungrim symbol	Notation	Short description
`AiryAi`	$\operatorname{Ai}\!\left(z\right)$	Airy function of the first kind
`Pow`	${a}^{b}$	Power
`GammaFunction`	$\Gamma\!\left(z\right)$	Gamma function

Source code for this entry:

Entry(ID("693cfe"),
    Formula(EqualAndElement(AiryAi(0), Div(1, Mul(Pow(3, Div(2, 3)), GammaFunction(Div(2, 3)))), RealBall(Decimal("0.355028053887817239260063186004"), Decimal("1.84e-31")))))

Topics using this entry

Airy functions

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