DLMF:4.38.E17 (Q1967): Difference between revisions

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imported>Admin
 
Property / Symbols used
 
Property / Symbols used: general inverse hyperbolic tangent function / rank
 
Normal rank
Property / Symbols used: general inverse hyperbolic tangent function / qualifier
 
test:

Arctanh z multivalued-hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctanh}\NVar{z}}}

\Atanh@@{\NVar{z}}
Property / Symbols used: general inverse hyperbolic tangent function / qualifier
 
xml-id: C4.S37.E3.m2adec

Latest revision as of 18:20, 1 January 2020

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DLMF:4.38.E17
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    Statements

    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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    Arctanh z multivalued-hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctanh}\NVar{z}}}
    C4.S37.E3.m2adec
    0 references