DLMF:9.5.E6 (Q2778)

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DLMF:9.5.E6
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    Statements

    Defining formula
    Ai ⁡ ( z ) = 3 2 ⁢ π ⁢ ∫ 0 ∞ exp ⁡ ( - t 3 3 - z 3 3 ⁢ t 3 ) ⁢ d t , Airy-Ai 𝑧 3 2 𝜋 superscript subscript 0 superscript 𝑡 3 3 superscript 𝑧 3 3 superscript 𝑡 3 𝑡 {\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)=\frac{\sqrt{3}}{2\pi}% \int_{0}^{\infty}\exp\left(-\frac{t^{3}}{3}-\frac{z^{3}}{3t^{3}}\right)\mathrm% {d}t,}}
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    DLMF:9.5.E6
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