DLMF:1.16.E23 (Q623)

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DLMF:1.16.E23
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    Statements

    Defining formula
    ( - 1 ) n ⁢ n ! ⁢ x + - 1 - n = D ( n + 1 ) ⁢ ln + ⁡ x , superscript 1 𝑛 𝑛 superscript subscript 𝑥 1 𝑛 superscript 𝐷 𝑛 1 subscript 𝑥 {\displaystyle{\displaystyle(-1)^{n}n!x_{+}^{-1-n}=D^{(n+1)}\ln_{+}x,}}
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    DLMF id
    DLMF:1.16.E23
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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    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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    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1edec
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    Q10909
    Defining formula
    D ⁢ f 𝐷 𝑓 {\displaystyle{\displaystyle Df}}
    xml-id
    C1.S16.XMD6.m1edec
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