DLMF:25.12.E3 (Q7722)

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DLMF:25.12.E3
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    Statements

    test
    Li 2 ⁡ ( z ) + Li 2 ⁡ ( z z - 1 ) = - 1 2 ⁢ ( ln ⁡ ( 1 - z ) ) 2 , dilogarithm 𝑧 dilogarithm 𝑧 𝑧 1 1 2 superscript 1 𝑧 2 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z\right)+\mathrm{Li}_{2}\left% (\frac{z}{z-1}\right)=-\frac{1}{2}(\ln\left(1-z\right))^{2},}}
    0 references
    DLMF id
    DLMF:25.12.E3
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    constraint
    z ∈ ℂ ∖ [ 1 , ∞ ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus[1,\infty)}}
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    Symbols used
    Q11243
    test
    [ a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p2.t1.r1.m4adec
    0 references
     
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