DLMF:25.12.E5 (Q7724): Difference between revisions

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Property / constraint
 

| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

|z|<1
Property / constraint: | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}} / rank
 
Normal rank

Revision as of 17:18, 30 December 2019

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DLMF:25.12.E5
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    Statements

    Li 2 ( z m ) = m k = 0 m - 1 Li 2 ( z e 2 π i k / m ) , dilogarithm superscript 𝑧 𝑚 𝑚 superscript subscript 𝑘 0 𝑚 1 dilogarithm 𝑧 superscript 𝑒 2 𝜋 𝑖 𝑘 𝑚 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z^{m}\right)=m\sum_{k=0}^{m-1% }\mathrm{Li}_{2}\left(ze^{2\pi ik/m}\right),}}
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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