scipy.special.ellipeinc¶

scipy.special.ellipeinc(x1, x2[, out]) = <ufunc 'ellipeinc'>¶

ellipeinc(phi, m)

Incomplete elliptic integral of the second kind

This function is defined as

\[E(\phi, m) = \int_0^{\phi} [1 - m \sin(t)^2]^{1/2} dt\]

Parameters:

phi : array_like

amplitude of the elliptic integral.

m : array_like

parameter of the elliptic integral.

Returns:

E : ndarray

Value of the elliptic integral.