How to prove the following?
$$E(k)=\dfrac{\pi}{2}\cdot\,_2 F_1 \left(-1/2,1/2;1;k^2 \right),$$ where $E(k)$ denotes complete elliptic integral of the second kind, and $_2F_1(\cdot)$ is the Gauss Hypergeometric function.
2026-03-25 19:05:35.1774465535
How to find solution of complete elliptic integral of second kind?
138 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in HYPERGEOMETRIC-FUNCTION
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