Inverse Jacobi Elliptic Function arcsn(x,k)
Calculates the inverse Jacobi elliptic function arcsn(x,k).
| \(\normalsize Inverse\ Jacobi\ elliptic\ function\ arcsn(x,k)\\ (1)\ x=sn(u,k)\hspace{5px}\rightarrow\hspace{5px} u=arcsn(x,k)\equiv sn^{\tiny -1}(x,k)\\ (2)\ arcsn(x,k)=F(x,k)={\large\int_{\small 0}^{\small x}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\\ \hspace{220px} -1\le x\le1\\\) |
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