Formula:8435

Digital Library of Mathematical Functions ID 25.14.E3

${\displaystyle{\displaystyle\mathrm{Li}_{s}\left(z\right)=z\Phi\left(z,s,1\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\Re s>1}}$
${\displaystyle{\displaystyle\Re s>1}}$
${\displaystyle{\displaystyle|z|\leq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}$: Lerch’s transcendent
• ${\displaystyle{\displaystyle\mathrm{Li}_{\NVar{s}}\left(\NVar{z}\right)}}$: polylogarithm
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle s}}$: complex variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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