Formula:2367

Digital Library of Mathematical Functions ID 4.37.E24

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \atanh@@{z}=\tfrac{1}{2}\ln@{\frac{1+z}{1-z}},}

Constraint(s)

${\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,-1]\cup[1,\infty)}}$

Symbols List

• ${\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}$:
• ${\displaystyle{\displaystyle\mathbb{C}}}$:
• ${\displaystyle{\displaystyle\in}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \atanh@@{\NVar{z}}} :
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle(\NVar{a},\NVar{b}]}}$:
• ${\displaystyle{\displaystyle\setminus}}$:
• ${\displaystyle{\displaystyle\cup}}$:
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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