scipy.special.ellipkinc¶

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

ellipkinc(phi, m)

Incomplete elliptic integral of the first kind

This function is defined as

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

Parameters:

phi : array_like

amplitude of the elliptic integral

m : array_like

parameter of the elliptic integral

Returns:

K : ndarray

Value of the elliptic integral