DLMF:4.37.E22 (Q1941): 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.m9afdec

Revision as of 19:17, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.37.E22
No description defined

    Statements

    Defining formula
    arccosh ⁡ x = ± ln ⁡ ( i ⁢ ( 1 - x 2 ) 1 / 2 + x ) , hyperbolic-inverse-cosine 𝑥 plus-or-minus 𝑖 superscript 1 superscript 𝑥 2 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arccosh}x=\pm\ln\left(i(1-x^{2})^{1/% 2}+x\right),}}
    0 references
    DLMF id
    DLMF:4.37.E22
    0 references
    constraint
    x ∈ ( - 1 , 1 ] 𝑥 1 1 {\displaystyle{\displaystyle x\in(-1,1]}}
    0 references
    Symbols used
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aedec
    0 references
    Q11246
    Defining formula
    arccosh ⁡ z hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}
    xml-id
    C4.S37.SS2.p1.m9afdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1941&oldid=28143"