DLMF:32.11.E32 (Q9467)

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DLMF:32.11.E32
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    Statements

    Defining formula
    w h ⁢ ( x ) ∼ h ⁢ 2 n ⁢ x 2 ⁢ n ⁢ exp ⁡ ( - x 2 ) , asymptotically-equals subscript 𝑤 ℎ 𝑥 ℎ superscript 2 𝑛 superscript 𝑥 2 𝑛 superscript 𝑥 2 {\displaystyle{\displaystyle w_{h}(x)\sim h2^{n}x^{2n}\exp\left(-x^{2}\right),}}
    0 references
    DLMF id
    DLMF:32.11.E32
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    constraint
    x → - ∞ → 𝑥 {\displaystyle{\displaystyle x\to-\infty}}
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    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2afdec
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    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aadec
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    Q12571
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C32.S1.XMD2.m1cdec
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    Q12533
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C32.S1.XMD3.m1sdec
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