DLMF:22.15.E1 (Q7094)

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DLMF:22.15.E1
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    Statements

    Defining formula
    sn ⁑ ( ΞΎ , k ) = x , Jacobi-elliptic-sn πœ‰ π‘˜ π‘₯ {\displaystyle{\displaystyle\operatorname{sn}\left(\xi,k\right)=x,}}
    0 references
    DLMF id
    DLMF:22.15.E1
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    constraint
    - 1 ≀ x ≀ 1 1 π‘₯ 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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    Symbols used
    Jacobian elliptic function
    Defining formula
    sn ⁑ ( z , k ) Jacobi-elliptic-sn 𝑧 π‘˜ {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E4.m2adec
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    Q12003
    Defining formula
    x π‘₯ {\displaystyle{\displaystyle x}}
    xml-id
    C22.S1.XMD1.m1dec
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    Q11984
    Defining formula
    k π‘˜ {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1dec
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    Q12004
    Defining formula
    ΞΎ πœ‰ {\displaystyle{\displaystyle\xi}}
    xml-id
    C22.S15.XMD1.m1dec
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