You got me curious.  So I searched thru the hyperdoc and found:

ellipticE(x,y)

The doc says:

elliptibE(z,m) = integrate(sqrt(1-m*t^2)/sqrt(1-t^2),t=0..z)

so that looks right.

-JimC
-- 
James Cloos <[email protected]>
            OpenPGP: https://jhcloos.com/0x997A9F17ED7DAEA6.asc

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