DLMF:22.14.E4 (Q7079)

From DRMF
Revision as of 15:22, 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:22.14.E4
No description defined

    Statements

    Defining formula
    ∫ cd ⁡ ( x , k ) ⁢ d x = k - 1 ⁢ ln ⁡ ( nd ⁡ ( x , k ) + k ⁢ sd ⁡ ( x , k ) ) , Jacobi-elliptic-cd 𝑥 𝑘 𝑥 superscript 𝑘 1 Jacobi-elliptic-nd 𝑥 𝑘 𝑘 Jacobi-elliptic-sd 𝑥 𝑘 {\displaystyle{\displaystyle\int\operatorname{cd}\left(x,k\right)\mathrm{d}x=k% ^{-1}\ln\left(\operatorname{nd}\left(x,k\right)+k\operatorname{sd}\left(x,k% \right)\right),}}
    0 references
    DLMF id
    DLMF:22.14.E4
    0 references
    Symbols used
    Jacobian elliptic function
    Defining formula
    cd ⁡ ( z , k ) Jacobi-elliptic-cd 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cd}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E8.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7079&oldid=57192"