How can I start to prove the equation:
K'(k) = E(k)/k(1 − k^2)−K(k)/k for all 0 < k < 1
by using the complete elliptic integrals of the first and second kind?
I have already changed the integral from (0 to pi/2) to (0 to 1) for both K(k) and E(k), but I'm not sure where to go from there.
Thank you!
K'(k) = E(k)/k(1 − k^2)−K(k)/k for all 0 < k < 1
by using the complete elliptic integrals of the first and second kind?
I have already changed the integral from (0 to pi/2) to (0 to 1) for both K(k) and E(k), but I'm not sure where to go from there.
Thank you!