DLMF:22.10.E6 (Q7021)

From DRMF
Revision as of 15:10, 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.E6
No description defined

    Statements

    Defining formula
    dn ⁡ ( z , k ) = 1 - k 2 2 ⁢ sin 2 ⁡ z + O ⁡ ( k 4 ) , Jacobi-elliptic-dn 𝑧 𝑘 1 superscript 𝑘 2 2 2 𝑧 Big-O superscript 𝑘 4 {\displaystyle{\displaystyle\operatorname{dn}\left(z,k\right)=1-\frac{k^{2}}{2% }{\sin^{2}}z+O\left(k^{4}\right),}}
    0 references
    DLMF id
    DLMF:22.10.E6
    0 references
    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2aedec
    0 references
    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.m2aadec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7021&oldid=54991"