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DLMF:18.16.E15 - MaRDI portal

DLMF:18.16.E15 (Q6435)

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DLMF:18.16.E15
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    Statements

    DLMF defining formula
    x n , m < ν + 2 2 3 ⁢ a m ⁢ ν 1 3 + 2 - 2 3 ⁢ a m 2 ⁢ ν - 1 3 , subscript 𝑥 𝑛 𝑚 𝜈 superscript 2 2 3 zero-Airy-Ai 𝑚 superscript 𝜈 1 3 superscript 2 2 3 zero-Airy-Ai 𝑚 2 superscript 𝜈 1 3 {\displaystyle{\displaystyle x_{n,m}<\nu+2^{\frac{2}{3}}a_{m}\nu^{\frac{1}{3}}% +2^{-\frac{2}{3}}{a_{m}^{2}}\nu^{-\frac{1}{3}},}}
    0 references
    Symbols used
    Q11365
    DLMF defining formula
    a k zero-Airy-Ai 𝑘 {\displaystyle{\displaystyle a_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m5aadec
    0 references
    nonnegative integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1jdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1ndec
    0 references
    18.15.E17
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C18.S15.XMD14.m1cdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1fdec
    0 references

    Identifiers

     
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