DLMF:22.9.E7 (Q6999)

From DRMF
Revision as of 15:07, 2 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:22.9.E7
No description defined

    Statements

    Defining formula
    κ = dn ⁡ ( 2 ⁢ K ⁡ ( k ) / 3 , k ) , 𝜅 Jacobi-elliptic-dn 2 complete-elliptic-integral-first-kind-K 𝑘 3 𝑘 {\displaystyle{\displaystyle\kappa=\operatorname{dn}\left(2K\left(k\right)/3,k% \right),}}
    0 references
    DLMF id
    DLMF:22.9.E7
    0 references
    Symbols used
    Jacobian elliptic function
    Defining formula
    dn ⁡ ( z , k ) Jacobi-elliptic-dn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E6.m2abdec
    0 references
    Q11600
    Defining formula
    K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m1afdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6999&oldid=54533"