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Fungrim entry: 807917

Ai ⁣(0)=131/3Γ ⁣(13)[0.258819403792806798405183560189±2.041031]\operatorname{Ai}'\!\left(0\right) = -\frac{1}{{3}^{1 / 3} \Gamma\!\left(\frac{1}{3}\right)} \in \left[-0.258819403792806798405183560189 \pm 2.04 \cdot 10^{-31}\right]
TeX:
\operatorname{Ai}'\!\left(0\right) = -\frac{1}{{3}^{1 / 3} \Gamma\!\left(\frac{1}{3}\right)} \in \left[-0.258819403792806798405183560189 \pm 2.04 \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("807917"),
    Formula(EqualAndElement(AiryAi(0, 1), Neg(Div(1, Mul(Pow(3, Div(1, 3)), GammaFunction(Div(1, 3))))), RealBall(Decimal("-0.258819403792806798405183560189"), Decimal("2.04e-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