DLMF:22.13.E5 (Q7056)

From DRMF
Revision as of 15:18, 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:22.13.E5
No description defined

    Statements

    ( d d z sd ( z , k ) ) 2 = ( 1 - k 2 sd 2 ( z , k ) ) ( 1 + k 2 sd 2 ( z , k ) ) , superscript derivative 𝑧 Jacobi-elliptic-sd 𝑧 𝑘 2 1 superscript superscript 𝑘 2 Jacobi-elliptic-sd 2 𝑧 𝑘 1 superscript 𝑘 2 Jacobi-elliptic-sd 2 𝑧 𝑘 {\displaystyle{\displaystyle\left(\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% sd}\left(z,k\right)\right)^{2}={\left(1-{k^{\prime}}^{2}{\operatorname{sd}^{2}% }\left(z,k\right)\right)}{\left(1+k^{2}{\operatorname{sd}^{2}}\left(z,k\right)% \right)},}}
    0 references
    DLMF:22.13.E5
    0 references
    sd ( z , k ) Jacobi-elliptic-sd 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sd}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E7.m2aadec
    0 references