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Package ellipse (in ellipse.i) -

Index of documented functions or symbols:

E

EllipticE

EllipticK

EllipticE

DOCUMENT 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)

SEE ALSO: EllipticK

EllipticK

DOCUMENT 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

SEE ALSO: EllipticE