EllipticPi
EllipticPi[n, m] gives the complete elliptic integral of the third kind Π(n|m).
EllipticPi[n, ϕ, m] gives the incomplete elliptic integral Π(n; ϕ|m).
Examples
Complete elliptic integral:
N[EllipticPi[0.3, 0.5]]Incomplete elliptic integral:
N[EllipticPi[0.2, Pi/4, 0.5]]Please visit the official Wolfram Language Reference for more details.