DLMF:2.2.E6 (Q713)

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DLMF:2.2.E6
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    Statements

    Defining formula
    t = y 1 2 ⁢ ( 1 + 1 4 ⁢ y - 1 ⁢ ln ⁡ y + o ⁡ ( y - 1 ) ) , 𝑡 superscript 𝑦 1 2 1 1 4 superscript 𝑦 1 𝑦 little-o superscript 𝑦 1 {\displaystyle{\displaystyle t=y^{\frac{1}{2}}\left(1+\tfrac{1}{4}y^{-1}\ln y+% o\left(y^{-1}\right)\right),}}
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    DLMF id
    DLMF:2.2.E6
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    constraint
    y → ∞ → 𝑦 {\displaystyle{\displaystyle y\to\infty}}
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    Symbols used
    order less than
    Defining formula
    o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E2.m2abdec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
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    Q10942
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C2.S2.XMD3.m1ddec
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