Formula:8414

Digital Library of Mathematical Functions ID 25.12.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \dilog@{z}=-\int_{0}^{z}t^{-1}\ln@{1-t}\diff{t},}

Constraint(s)

${\displaystyle{\displaystyle z\in\mathbb{C}\setminus(1,\infty)}}$

Symbols List

• ${\displaystyle{\displaystyle\mathbb{C}}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}$: dilogarithm
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$:
• ${\displaystyle{\displaystyle\setminus}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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