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Fungrim entry: b2e9d0

Ai⁡′′(z)=zAi⁡ ⁣(z)\operatorname{Ai}''(z) = z \operatorname{Ai}\!\left(z\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\operatorname{Ai}''(z) = z \operatorname{Ai}\!\left(z\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Derivativeddz f ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Derivative
AiryAiAi⁡ ⁣(z)\operatorname{Ai}\!\left(z\right) Airy function of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("b2e9d0"),
    Formula(Equal(Derivative(AiryAi(z), Tuple(z, z, 2)), Mul(z, AiryAi(z)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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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