DLMF:2.7.E27 (Q921)

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DLMF:2.7.E27
No description defined

    Statements

    Defining formula
    w 2 ⁢ ( x ) ∼ f - 1 / 4 ⁢ ( x ) ⁢ exp ⁡ ( - ∫ f 1 / 2 ⁢ ( x ) ⁢ d x ) , asymptotically-equals subscript 𝑤 2 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 {\displaystyle{\displaystyle w_{2}(x)\sim f^{-1/4}(x)\exp\left(-\int f^{1/2}(x% )\mathrm{d}x\right),}}
    0 references
    DLMF id
    DLMF:2.7.E27
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    constraint
    x → a 2 - → 𝑥 limit-from subscript 𝑎 2 {\displaystyle{\displaystyle x\to a_{2}-}}
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    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2aadec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aedec
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    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2addec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aedec
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    Q11060
    Defining formula
    ( a 1 , a 2 ) subscript 𝑎 1 subscript 𝑎 2 {\displaystyle{\displaystyle(a_{1},a_{2})}}
    xml-id
    C2.S7.XMD19.m1cdec
    0 references
    Q11050
    Defining formula
    w j ⁢ ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}
    xml-id
    C2.S7.XMD8.m1gdec
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