Formula:2391

Digital Library of Mathematical Functions ID 4.38.E5

${\displaystyle{\displaystyle\operatorname{arctanh}z=z+\frac{z^{3}}{3}+\frac{z^{5}}{5}+\frac{z^{7}}{7}+\cdots,}}$

Constraint(s)

${\displaystyle{\displaystyle\left|z\right|\leq 1}}$
${\displaystyle{\displaystyle\left|z\right|\leq 1}}$
${\displaystyle{\displaystyle z\neq\pm 1}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}$:
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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