DLMF:22.8.E21 (Q6986)

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DLMF:22.8.E21
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    k 2 - k 2 k 2 sn z 1 sn z 2 sn z 3 sn z 4 + k 2 cn z 1 cn z 2 cn z 3 cn z 4 - dn z 1 dn z 2 dn z 3 dn z 4 = 0 . superscript superscript 𝑘 2 superscript superscript 𝑘 2 superscript 𝑘 2 Jacobi-elliptic-sn subscript 𝑧 1 𝑘 Jacobi-elliptic-sn subscript 𝑧 2 𝑘 Jacobi-elliptic-sn subscript 𝑧 3 𝑘 Jacobi-elliptic-sn subscript 𝑧 4 𝑘 superscript 𝑘 2 Jacobi-elliptic-cn subscript 𝑧 1 𝑘 Jacobi-elliptic-cn subscript 𝑧 2 𝑘 Jacobi-elliptic-cn subscript 𝑧 3 𝑘 Jacobi-elliptic-cn subscript 𝑧 4 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 Jacobi-elliptic-dn subscript 𝑧 4 𝑘 0 {\displaystyle{\displaystyle{k^{\prime}}^{2}-{k^{\prime}}^{2}k^{2}% \operatorname{sn}z_{1}\operatorname{sn}z_{2}\operatorname{sn}z_{3}% \operatorname{sn}z_{4}+k^{2}\operatorname{cn}z_{1}\operatorname{cn}z_{2}% \operatorname{cn}z_{3}\operatorname{cn}z_{4}-\operatorname{dn}z_{1}% \operatorname{dn}z_{2}\operatorname{dn}z_{3}\operatorname{dn}z_{4}=0.}}
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    DLMF:22.8.E21
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