DLMF:4.37.E9 (Q1928): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11248 / rank
 
Normal rank
Property / Symbols used: Q11248 / qualifier
 
Defining formula:

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.m10adec

Revision as of 19:14, 1 January 2020

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DLMF:4.37.E9
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    Statements

    Defining formula
    arccoth ⁡ z = arctanh ⁡ ( 1 / z ) , hyperbolic-inverse-cotangent 𝑧 hyperbolic-inverse-tangent 1 𝑧 {\displaystyle{\displaystyle\operatorname{arccoth}z=\operatorname{arctanh}% \left(1/z\right),}}
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    DLMF id
    DLMF:4.37.E9
    0 references
    constraint
    z ≠ ± 1 𝑧 plus-or-minus 1 {\displaystyle{\displaystyle z\neq\pm 1}}
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    Symbols used
    Q11248
    Defining formula
    arctanh ⁡ z hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}
    xml-id
    C4.S37.SS2.p1.m10adec
    0 references
     
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