DLMF:25.12.E2 (Q7721): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: dilogarithm / rank
 
Normal rank
Property / Symbols used: dilogarithm / qualifier
 
Defining formula:

Li 2 ⁡ ( z ) dilogarithm 𝑧 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}

\dilog@{\NVar{z}}
Property / Symbols used: dilogarithm / qualifier
 
xml-id: C25.S12.E1.m2aadec

Revision as of 13:47, 2 January 2020

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DLMF:25.12.E2
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    Statements

    Defining formula
    Li 2 ⁡ ( z ) = - ∫ 0 z t - 1 ⁢ ln ⁡ ( 1 - t ) ⁢ d t , dilogarithm 𝑧 superscript subscript 0 𝑧 superscript 𝑡 1 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z\right)=-\int_{0}^{z}t^{-1}% \ln\left(1-t\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:25.12.E2
    0 references
    constraint
    z ∈ ℂ ∖ ( 1 , ∞ ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(1,\infty)}}
    0 references
    Symbols used
    Q10923
    Defining formula
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    dilogarithm
    Defining formula
    Li 2 ⁡ ( z ) dilogarithm 𝑧 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}
    xml-id
    C25.S12.E1.m2aadec
    0 references
     
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