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

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11246 / rank
 
Normal rank
Property / Symbols used: Q11246 / qualifier
 
Defining formula:

arccosh ⁡ z hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}

\acosh@@{\NVar{z}}
Property / Symbols used: Q11246 / qualifier
 
xml-id: C4.S37.SS2.p1.m9acdec

Revision as of 19:16, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.37.E19
No description defined

    Statements

    Defining formula
    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),}}
    0 references
    DLMF id
    DLMF:4.37.E19
    0 references
    constraint
    z ∈ ℂ ∖ ( - ∞ , 1 ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}
    0 references
    Symbols used
    Q10923
    Defining formula
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2aadec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2acdec
    0 references
    Q11246
    Defining formula
    arccosh ⁡ z hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}
    xml-id
    C4.S37.SS2.p1.m9acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1938&oldid=28125"