## functions in ellipse.i - E

EllipticE

EllipticE(k) return E(k), the complete Elliptic Function integral from 0 to pi/2 of sqrt(1-k^2 *(sin(x))^2) dx k must lie in -1<= k <=1 Uses the arithmetic/geometric mean method. (Abramowitz & Stegun p598) Interpreted function, defined at i/ellipse.i line 41SEE ALSO: EllipticK

EllipticK

EllipticK(k) return E(k), the complete Elliptic Function integral from 0 to pi/2 of 1/sqrt(1-k^2 *(sin(x))^2) dx uses the arithmetic/geometric mean method. (Abramowitz & Stegun p598) k must lie in -1 < k <1. E(k) diverges as log(4/sqrt(1-k^2)) as k->1 Interpreted function, defined at i/ellipse.i line 13SEE ALSO: EllipticE