section E of routines in ellipse.i

Home Manual Packages Global Index Keywords Quick Reference | # 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 41
SEE 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 13
SEE ALSO: | EllipticE