# Elliptic Integrals

## ELLIPTIC FUNCTIONS

ROUTINE DESCRIPTION
ELK Evaluates the complete elliptic integral of the kind K(x).
ELE Evaluates the complete elliptic integral of the second kind E(x).
ELRF Evaluates Carlson's incomplete elliptic integral of the first kind RF(x, y, z).
ELRD Evaluates Carlson's incomplete elliptic integral of the second kind RD(x, y, z).
ELRJ Evaluates Carlson's incomplete elliptic integral of the third kind RJ(x, y, z, rho).
ELRC Evaluates an elementary integral from which inverse circular functions, logarithms and inverse hyperbolic functions can be computed.