DLMF:4.38.E6 (Q1956): Difference between revisions

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z 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Im z\gtrless 0}}

\imagpart@@{z}\gtrless 0
Property / constraint: z 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Im z\gtrless 0}} / rank
 
Normal rank

Revision as of 17:03, 30 December 2019

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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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    DLMF:4.38.E6
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    z 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Im z\gtrless 0}}
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