DLMF:22.18.E5 (Q7169)

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DLMF:22.18.E5
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    Statements

    Defining formula
    r = cn ⁡ ( 2 ⁢ l , 1 / 2 ) , 𝑟 Jacobi-elliptic-cn 2 𝑙 1 2 {\displaystyle{\displaystyle r=\operatorname{cn}\left(\sqrt{2}l,1/\sqrt{2}% \right),}}
    0 references
    DLMF id
    DLMF:22.18.E5
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    Symbols used
    Jacobian elliptic function
    Defining formula
    cn ⁡ ( z , k ) Jacobi-elliptic-cn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E5.m2aadec
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    Q12027
    Defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C22.S18.XMD5.m1adec
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    Q12026
    Defining formula
    l ⁢ ( r ) 𝑙 𝑟 {\displaystyle{\displaystyle l(r)}}
    xml-id
    C22.S18.XMD7.m1bdec
    0 references
     
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