Formula:2393

Digital Library of Mathematical Functions ID 4.38.E6

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

Constraint(s)

${\displaystyle{\displaystyle\Im z\gtrless 0}}$
${\displaystyle{\displaystyle\left|z\right|\geq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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