Formula:2389

Digital Library of Mathematical Functions ID 4.38.E4

${\displaystyle{\displaystyle\operatorname{arccosh}z=(2(z-1))^{1/2}\*{\left(1+\sum_{n=1}^{\infty}(-1)^{n}\frac{1\cdot 3\cdot 5\cdots(2n-1)}{2^{2n}n!(2n+1)}(z-1)^{n}\right)},}}$

Constraint(s)

${\displaystyle{\displaystyle\Re z>0}}$
${\displaystyle{\displaystyle\Re z>0}}$
${\displaystyle{\displaystyle|z-1|\leq 2}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

Resources that cite this formula

No records found.