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DLMF:18.16.E17 - MaRDI portal

DLMF:18.16.E17 (Q6437)

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DLMF:18.16.E17
No description defined

    Statements

    DLMF defining formula
    x n , m = ( 2 ⁢ n + 1 ) 1 2 + 2 - 1 3 ⁢ ( 2 ⁢ n + 1 ) - 1 6 ⁢ a m + ϵ n , m , subscript 𝑥 𝑛 𝑚 superscript 2 𝑛 1 1 2 superscript 2 1 3 superscript 2 𝑛 1 1 6 zero-Airy-Ai 𝑚 subscript italic-ϵ 𝑛 𝑚 {\displaystyle{\displaystyle x_{n,m}=(2n+1)^{\frac{1}{2}}+2^{-\frac{1}{3}}(2n+% 1)^{-\frac{1}{6}}a_{m}+\epsilon_{n,m},}}
    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.m5abdec
    0 references
    nonnegative integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1kdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1pdec
    0 references
    18.16.E18
    DLMF defining formula
    ϵ n , m subscript italic-ϵ 𝑛 𝑚 {\displaystyle{\displaystyle\epsilon_{n,m}}}
    xml-id
    C18.S16.XMD3.m1dec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1hdec
    0 references

    Identifiers

     
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