all functions - E

    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  

    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