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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)   
  

unknown type function, documented at include/ellipse.i   line 53  
 
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  
  

unknown type function, documented at include/ellipse.i   line 33  
 
SEE ALSO: EllipticE






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