Formula:2383

Digital Library of Mathematical Functions ID 4.38.E1

${\displaystyle{\displaystyle\operatorname{arcsinh}z=z-\frac{1}{2}\frac{z^{3}}{3}+\frac{1\cdot 3}{2\cdot 4}\frac{z^{5}}{5}-\frac{1\cdot 3\cdot 5}{2\cdot 4\cdot 6}\frac{z^{7}}{7}+\cdots,}}$

Constraint(s)

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

Symbols List

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

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