DLMF:9.9.E9 (Q3568)

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DLMF:9.9.E9
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    Statements

    DLMF defining formula
    Ai ⁡ ( a k ′ ) = ( - 1 ) k - 1 ⁢ W ⁢ ( 3 8 ⁢ π ⁢ ( 4 ⁢ k - 3 ) ) . Airy-Ai zero-derivative-Airy-Ai 𝑘 superscript 1 𝑘 1 𝑊 3 8 𝜋 4 𝑘 3 {\displaystyle{\displaystyle\mathrm{Ai}\left(a^{\prime}_{k}\right)=(-1)^{k-1}W% \left(\tfrac{3}{8}\pi(4k-3)\right).}}
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    Symbols used
    Q10893
    DLMF defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1addec
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    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2agdec
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    Q11366
    DLMF defining formula
    a k ′ zero-derivative-Airy-Ai 𝑘 {\displaystyle{\displaystyle a^{\prime}_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m11addec
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    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C9.S1.XMD1.m1hdec
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    expansion (locally)
    DLMF defining formula
    W 𝑊 {\displaystyle{\displaystyle W}}
    xml-id
    C9.S9.XMD5.m1dec
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    Identifiers

     
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