DLMF:36.9.E2 (Q9955)

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DLMF:36.9.E2
No description defined

    Statements

    Defining formula
    ( Ai ⁡ ( x ) ) 2 = 2 2 / 3 π ⁢ ∫ 0 ∞ Ai ⁡ ( 2 2 / 3 ⁢ ( u 2 + x ) ) ⁢ d u . superscript Airy-Ai 𝑥 2 superscript 2 2 3 𝜋 superscript subscript 0 Airy-Ai superscript 2 2 3 superscript 𝑢 2 𝑥 𝑢 {\displaystyle{\displaystyle(\mathrm{Ai}\left(x\right))^{2}=\frac{2^{2/3}}{\pi% }\int_{0}^{\infty}\mathrm{Ai}\left(2^{2/3}(u^{2}+x)\right)\mathrm{d}u.}}
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    DLMF id
    DLMF:36.9.E2
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    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1adec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
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    Q12748
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C36.S1.XMD9.m1adec
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