Formula:2363

Digital Library of Mathematical Functions ID 4.37.E22

${\displaystyle{\displaystyle\operatorname{arccosh}x=\pm\ln\left(i(1-x^{2})^{1/2}+x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\in(-1,1]}}$

Symbols List

• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle(\NVar{a},\NVar{b}]}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
 

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