Jacobi Elliptic Function cn(u,k)
Calculates the Jacobi elliptic function cn(u,k).
| \(\normalsize Jacobi\ elliptic\ function\ cn(u,k)\\ (1)\ cn(u,k)= \cos(am(u,k))\\ (2)\ am(u,k)=\phi=F^{-1}(u,k) \\ \hspace{25px}u=F(\phi,k)={\large\int_{\small 0}^{\phi}\frac{d\theta}{\sqrt{1-k^2 \sin^2\theta}}}\\ (3)\ sn^2(u,k)+cn^2(u,k)=1\\\) |
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