DLMF:4.37.E31 (Q1950): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11248 / rank
 
Normal rank
Property / Symbols used: Q11248 / qualifier
 
test:

arctanh ⁡ z hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}

\atanh@@{\NVar{z}}
Property / Symbols used: Q11248 / qualifier
 
xml-id: C4.S37.SS2.p1.m10aedec

Revision as of 18:18, 1 January 2020

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DLMF:4.37.E31
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    Statements

    test
    w = Arctanh ⁡ z = arctanh ⁡ z + k ⁢ π ⁢ i , 𝑤 multivalued-hyperbolic-inverse-tangent 𝑧 hyperbolic-inverse-tangent 𝑧 𝑘 𝜋 𝑖 {\displaystyle{\displaystyle w=\operatorname{Arctanh}z=\operatorname{arctanh}z% +k\pi i,}}
    0 references
    DLMF id
    DLMF:4.37.E31
    0 references
    constraint
    z ≠ ± 1 𝑧 plus-or-minus 1 {\displaystyle{\displaystyle z\neq\pm 1}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
    0 references
    Q11248
    test
    arctanh ⁡ z hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}
    xml-id
    C4.S37.SS2.p1.m10aedec
    0 references
     
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