Carlson Elliptic Integrals and Incomplete Elliptic Integrals
Carlson elliptic integral RC
Carlson elliptic integral RD
Carlson elliptic integral RF
Carlson elliptic integral RG
Carlson elliptic integral RJ
Incomplete elliptic integral of the second kind
Incomplete elliptic integral of the first kind
Incomplete elliptic integral of the third kind
Jacobi zeta function
Heuman Lambda function
Evaluation of the Carlson elliptic integrals and the incomplete elliptic integrals with complex arguments. The implementations use Carlson's algorithms <doi:10.1007/BF02198293>. Applications of elliptic integrals include probability distributions, geometry, physics, mechanics, electrodynamics, statistical mechanics, astronomy, geodesy, geodesics on conics, and magnetic field calculations.