Incomplete elliptic integral of the 3rd kind Π(x,n,k)
Calculate incomplete elliptic integral of the 3rd kind Π(x,n,k).
| \(\Pi(x,n,k)={\large\int_{\small 0}^{\small x}\frac{dt}{(1-nt^2)\sqrt{(1-t^2)(1-k^2t^2)}}}\) |
| \(\normalsize Incomplete\ elliptic\ integral\\ \hspace{100px} of\ the\ 3rd\ kind\ \Pi(x,n,k)\\ (1)\ \Pi(x,n,k)={\large\int_{\small 0}^{\small x}\frac{dt}{(1-nt^2)\sqrt{(1-t^2)(1-k^2t^2)}}}\\ \hspace{220px}-1\le x\le1\\\) |
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