DLMF:22.10.E2 (Q7017)

From DRMF
Revision as of 15:09, 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:22.10.E2
No description defined

    Statements

    cn ( z , k ) = 1 - z 2 2 ! + ( 1 + 4 k 2 ) z 4 4 ! - ( 1 + 44 k 2 + 16 k 4 ) z 6 6 ! + O ( z 8 ) , Jacobi-elliptic-cn 𝑧 𝑘 1 superscript 𝑧 2 2 1 4 superscript 𝑘 2 superscript 𝑧 4 4 1 44 superscript 𝑘 2 16 superscript 𝑘 4 superscript 𝑧 6 6 Big-O superscript 𝑧 8 {\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=1-\frac{z^{2}}{2% !}+\left(1+4k^{2}\right)\frac{z^{4}}{4!}-\left(1+44k^{2}+16k^{4}\right)\frac{z% ^{6}}{6!}+O\left(z^{8}\right),}}
    0 references
    DLMF:22.10.E2
    0 references
    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2aadec
    0 references