DLMF:4.38.E6 (Q1956)

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DLMF:4.38.E6
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    arctanh z = ± i π 2 + 1 z + 1 3 z 3 + 1 5 z 5 + , hyperbolic-inverse-tangent 𝑧 plus-or-minus imaginary-unit 𝜋 2 1 𝑧 1 3 superscript 𝑧 3 1 5 superscript 𝑧 5 {\displaystyle{\displaystyle\operatorname{arctanh}z=\pm\mathrm{i}\frac{\pi}{2}% +\frac{1}{z}+\frac{1}{3z^{3}}+\frac{1}{5z^{5}}+\cdots,}}
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