DLMF:22.15.E19 (Q7114)

From DRMF
Revision as of 18:11, 30 December 2019 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:22.15.E19
No description defined

    Statements

    Defining formula
    arcnc ⁡ ( x , k ) = ∫ 1 x d t ( t 2 - 1 ) ⁢ ( k 2 + k ′ 2 ⁢ t 2 ) , inverse-Jacobi-elliptic-nc 𝑥 𝑘 superscript subscript 1 𝑥 𝑡 superscript 𝑡 2 1 superscript 𝑘 2 superscript superscript 𝑘 ′ 2 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{arcnc}\left(x,k\right)=\int_{1}^{x}% \frac{\mathrm{d}t}{\sqrt{(t^{2}-1)(k^{2}+{k^{\prime}}^{2}t^{2})}},}}
    0 references
    DLMF id
    DLMF:22.15.E19
    0 references
    constraint
    1 ≤ x < ∞ 1 𝑥 {\displaystyle{\displaystyle 1\leq x<\infty}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7114&oldid=19469"