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DLMF:22.19.E7 - MaRDI portal

DLMF:22.19.E7 (Q7874)

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DLMF:22.19.E7
No description defined

    Statements

    DLMF defining formula
    x ⁢ ( t ) = a ⁢ sn ⁡ ( t ⁢ 1 - η , k ) . 𝑥 𝑡 𝑎 Jacobi-elliptic-sn 𝑡 1 𝜂 𝑘 {\displaystyle{\displaystyle x(t)=a\operatorname{sn}\left(t\sqrt{1-\eta},k% \right).}}
    0 references
    Symbols used
    Jacobian elliptic function
    DLMF defining formula
    sn ⁡ ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E4.m2aadec
    0 references
    modulus
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1bdec
    0 references
    coordinate
    DLMF defining formula
    x ⁢ ( t ) 𝑥 𝑡 {\displaystyle{\displaystyle x(t)}}
    xml-id
    C22.S19.XMD5.m1cdec
    0 references
    time
    DLMF defining formula
    t 𝑡 {\displaystyle{\displaystyle t}}
    xml-id
    C22.S19.XMD6.m1bdec
    0 references
    displacement
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C22.S19.XMD8.m1adec
    0 references
    parameter
    DLMF defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C22.S19.XMD9.m1adec
    0 references

    Identifiers

     
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