Formula:2395

Digital Library of Mathematical Functions ID 4.38.E7

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \atanh@@{z}=\frac{z}{1-z^{2}}\*{\left(1+\frac{2}{3}\frac{z^{2}}{z^{2}-1}+\frac{2\cdot 4}{3\cdot 5}\left(\frac{z^{2}}{z^{2}-1}\right)^{2}+\cdots\right)},}

Constraint(s)

${\displaystyle{\displaystyle\Re(z^{2})<\tfrac{1}{2}}}$

Symbols List

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

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