Formula:2387

Digital Library of Mathematical Functions ID 4.38.E3

${\displaystyle{\displaystyle\operatorname{arccosh}z=\ln\left(2z\right)-\frac{1}{2}\frac{1}{2z^{2}}-\frac{1\cdot 3}{2\cdot 4}\frac{1}{4z^{4}}-\frac{1\cdot 3\cdot 5}{2\cdot 4\cdot 6}\frac{1}{6z^{6}}-\cdots,}}$

Constraint(s)

${\displaystyle{\displaystyle|z|>1}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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