DLMF:4.38.E17 (Q1967)

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DLMF:4.38.E17
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    Arctanh u ± Arctanh v = Arctanh ( u ± v 1 ± u v ) , plus-or-minus multivalued-hyperbolic-inverse-tangent 𝑢 multivalued-hyperbolic-inverse-tangent 𝑣 multivalued-hyperbolic-inverse-tangent plus-or-minus 𝑢 𝑣 plus-or-minus 1 𝑢 𝑣 {\displaystyle{\displaystyle\operatorname{Arctanh}u\pm\operatorname{Arctanh}v=% \operatorname{Arctanh}\left(\frac{u\pm v}{1\pm uv}\right),}}
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