DLMF:4.12.E9 (Q1637)

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DLMF:4.12.E9
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    Statements

    Defining formula
    ψ ⁢ ( x ) = ℓ + ln ⁡ ⋯ ⁢ ln ⏟ ℓ ⁢  times ⁢ x , 𝜓 𝑥 ℓ subscript ⏟ ⋯ ℓ  times 𝑥 {\displaystyle{\displaystyle\psi(x)=\ell+\underbrace{\ln\cdots\ln}_{\ell\text{% times}}x,}}
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    DLMF id
    DLMF:4.12.E9
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    comment
    Warning: Falling back to standard tex;
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    constraint
    x > 1 𝑥 1 {\displaystyle{\displaystyle x>1}}
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    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
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    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1fdec
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    Q11232
    Defining formula
    ψ ⁢ ( x ) 𝜓 𝑥 {\displaystyle{\displaystyle\psi(x)}}
    xml-id
    C4.S12.XMD2.m1ddec
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    positive integer (locally)
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C4.S12.XMD3.m1dec
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