DLMF:4.37.E15 (Q1934): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: inverse hyperbolic cotangent function / rank
 
Normal rank
Property / Symbols used: inverse hyperbolic cotangent function / qualifier
 
Defining formula:

arccoth ⁡ z hyperbolic-inverse-cotangent 𝑧 {\displaystyle{\displaystyle\operatorname{arccoth}\NVar{z}}}

\acoth@@{\NVar{z}}
Property / Symbols used: inverse hyperbolic cotangent function / qualifier
 
xml-id: C4.S37.E9.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1odec

Latest revision as of 19:15, 1 January 2020

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DLMF:4.37.E15
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    Statements

    Defining formula
    arccoth ⁡ ( - z ) = - arccoth ⁡ z , hyperbolic-inverse-cotangent 𝑧 hyperbolic-inverse-cotangent 𝑧 {\displaystyle{\displaystyle\operatorname{arccoth}\left(-z\right)=-% \operatorname{arccoth}z,}}
    0 references
    DLMF id
    DLMF:4.37.E15
    0 references
    constraint
    z ≠ ± 1 𝑧 plus-or-minus 1 {\displaystyle{\displaystyle z\neq\pm 1}}
    0 references
    Symbols used
    inverse hyperbolic cotangent function
    Defining formula
    arccoth ⁡ z hyperbolic-inverse-cotangent 𝑧 {\displaystyle{\displaystyle\operatorname{arccoth}\NVar{z}}}
    xml-id
    C4.S37.E9.m2abdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1odec
    0 references
     
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