DLMF:4.37.E19 (Q1938): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10923 / rank
 
Normal rank
Property / Symbols used: Q10923 / qualifier
 
test:

ℂ {\displaystyle{\displaystyle\mathbb{C}}}

\Complexes
Property / Symbols used: Q10923 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r1.m2aadec

Revision as of 18:16, 1 January 2020

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DLMF:4.37.E19
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    Statements

    test
    arccosh ⁡ z = ln ⁡ ( ± ( z 2 - 1 ) 1 / 2 + z ) , hyperbolic-inverse-cosine 𝑧 plus-or-minus superscript superscript 𝑧 2 1 1 2 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}z=\ln\left(\pm(z^{2}-1)^{1/2% }+z\right),}}
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    DLMF id
    DLMF:4.37.E19
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    constraint
    z ∈ ℂ ∖ ( - ∞ , 1 ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}
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    Symbols used
    Q10923
    test
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2aadec
    0 references
     
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