Incomplete elliptic integrals

 f - amplitude, x - modulus square.


 MathMate syntax:            IEllF(phi,x), IEllE(phi,x) 
 Domain:                     phi any real, 0 <= x <= 1 

 Note:  Sometimes another definition is used where the argument is modulus   (not its square, i.e. t²=x). To obtain the elliptic integral of this   argument calculate IEllE(phi,sqrt(t)), IEllF(phi, sqrt(t)).

 See also: