• EllipticE[, m]
• 参见 Mathematica
This is the definition of the elliptic integral of the second kind. Classically, the integral is defined for on the interval , but the function also makes sense for more general (complex-valued) .
Setting gives the complete elliptic integral of the second kind, a particular case of the hypergeometric function.
This is the indefinite integral of the complete integral .
This is a series expansion around .
This is the derivative of the incomplete function with respect to .