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Fungrim entry: 693cfe

Ai ⁣(0)=132/3Γ ⁣(23)[0.355028053887817239260063186004±1.841031]\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
AiryAiAi ⁣(z)\operatorname{Ai}\!\left(z\right) Airy function of the first kind
Powab{a}^{b} Power
GammaFunctionΓ(z)\Gamma(z) 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")))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-10-05 13:11:19.856591 UTC