DLMF:4.23.E21 (Q1773)

From DRMF
Revision as of 18:32, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.23.E21
No description defined

    Statements

    Defining formula
    arcsin ⁡ x = - 1 2 ⁢ π ± i ⁢ ln ⁡ ( ( x 2 - 1 ) 1 / 2 - x ) , 𝑥 plus-or-minus 1 2 𝜋 𝑖 superscript superscript 𝑥 2 1 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arcsin}x=-\tfrac{1}{2}\pi\pm i\ln% \left((x^{2}-1)^{1/2}-x\right),}}
    0 references
    DLMF id
    DLMF:4.23.E21
    0 references
    constraint
    x ∈ ( - ∞ , - 1 ] 𝑥 1 {\displaystyle{\displaystyle x\in(-\infty,-1]}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1773&oldid=27443"