DLMF:4.37.E21 (Q1940): 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: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
Defining formula:

∈ {\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2addec

Revision as of 19:16, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.37.E21
No description defined

    Statements

    Defining formula
    arccosh ⁡ z = 2 ⁢ ln ⁡ ( ( z + 1 2 ) 1 / 2 + ( z - 1 2 ) 1 / 2 ) , hyperbolic-inverse-cosine 𝑧 2 superscript 𝑧 1 2 1 2 superscript 𝑧 1 2 1 2 {\displaystyle{\displaystyle\operatorname{arccosh}z=2\ln\left(\left(\frac{z+1}% {2}\right)^{1/2}+\left(\frac{z-1}{2}\right)^{1/2}\right),}}
    0 references
    DLMF id
    DLMF:4.37.E21
    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.m2abdec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2addec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1940&oldid=28136"