SciPy

scipy.special.ellipe

scipy.special.ellipe(m) = <ufunc 'ellipe'>

Complete elliptic integral of the second kind

This function is defined as

\[E(m) = \int_0^{\pi/2} [1 - m \sin(t)^2]^{1/2} dt\]
Parameters:

m : array_like

Defines the parameter of the elliptic integral.

Returns:

E : ndarray

Value of the elliptic integral.

See also

ellipkm1
Complete elliptic integral of the first kind, near m = 1
ellipk
Complete elliptic integral of the first kind
ellipkinc
Incomplete elliptic integral of the first kind
ellipeinc
Incomplete elliptic integral of the second kind