The incomplete elliptic integral EllipticE is defined by

The complete elliptic integrals EllipticE and EllipticCE are defined by

$\mathrm{EllipticE}\left(0.2\,0.3\right)$

$0.2012363833$

$\mathrm{EllipticE}\left(0.3\right)$

$1.534833465$

$\mathrm{EllipticCE}\left(0.3\right)$

$1.096477517$

Abramowitz, M., and Stegun, I., eds. Handbook of Mathematical Functions. New York: Dover, 1972.