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Elliptic_eu

Function: elliptic_eu (<u>, <m>) The incomplete elliptic integral of the second kind, defined as

integrate(dn(v,m)^2,v,0,u) = integrate(sqrt(1-m*t^2)/sqrt(1-t^2), t, 0, tau)

where tau = sn(u,m).

This is related to elliptic_e by

elliptic_eu(u, m) = elliptic_e(asin(sn(u,m)),m)

See also *note elliptic_e::.

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Related Examples

elliptic_eu

? elliptic_eu;

Calculate

elliptic_eu

? elliptic_eu;

Calculate