DLMF:9.9.E7 (Q3566)

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DLMF:9.9.E7
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    Statements

    DLMF defining formula
    Ai ′ ⁡ ( a k ) = ( - 1 ) k - 1 ⁢ V ⁢ ( 3 8 ⁢ π ⁢ ( 4 ⁢ k - 1 ) ) , diffop Airy-Ai 1 zero-Airy-Ai 𝑘 superscript 1 𝑘 1 𝑉 3 8 𝜋 4 𝑘 1 {\displaystyle{\displaystyle\mathrm{Ai}'\left(a_{k}\right)=(-1)^{k-1}V\left(% \tfrac{3}{8}\pi(4k-1)\right),}}
    0 references
    Symbols used
    Q10893
    DLMF defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1acdec
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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.m2aedec
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    Q11365
    DLMF defining formula
    a k zero-Airy-Ai 𝑘 {\displaystyle{\displaystyle a_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m5addec
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    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C9.S1.XMD1.m1fdec
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    expansion (locally)
    DLMF defining formula
    V 𝑉 {\displaystyle{\displaystyle V}}
    xml-id
    C9.S9.XMD4.m1dec
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    Identifiers

     
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