DLMF:2.7.E28 (Q922)

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DLMF:2.7.E28
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    Statements

    Defining formula
    w 3 ⁢ ( x ) ∼ f - 1 / 4 ⁢ ( x ) ⁢ exp ⁡ ( ∫ f 1 / 2 ⁢ ( x ) ⁢ d x ) , asymptotically-equals subscript 𝑤 3 𝑥 superscript 𝑓 1 4 𝑥 superscript 𝑓 1 2 𝑥 𝑥 {\displaystyle{\displaystyle w_{3}(x)\sim f^{-1/4}(x)\exp\left(\int f^{1/2}(x)% \mathrm{d}x\right),}}
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    DLMF id
    DLMF:2.7.E28
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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.m2abdec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
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    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aedec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
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