DLMF:29.18#Ex10 (Q8811)

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DLMF:29.18#Ex10
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    z = i k k dn ( α , k ) dn ( β , k ) dn ( γ , k ) , 𝑧 imaginary-unit 𝑘 superscript 𝑘 Jacobi-elliptic-dn 𝛼 𝑘 Jacobi-elliptic-dn 𝛽 𝑘 Jacobi-elliptic-dn 𝛾 𝑘 {\displaystyle{\displaystyle z=\frac{\mathrm{i}}{kk^{\prime}}\operatorname{dn}% \left(\alpha,k\right)\operatorname{dn}\left(\beta,k\right)\operatorname{dn}% \left(\gamma,k\right),}}
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