The incomplete elliptic integral EllipticPi is defined by

The complete elliptic integrals EllipticPi and EllipticCPi are defined by

$\mathrm{EllipticPi}\left(0.1\,0.2\,0.3\right)$

$0.1002494388$

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

$1.800217337$

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

$3.032020785$

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