5.7.2.2.3. scipy.special.ellipkm1¶

scipy.special.ellipkm1(p) = <ufunc 'ellipkm1'>¶

Complete elliptic integral of the first kind around m = 1

This function is defined as

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

where m = 1 - p.

Parameters:

p : array_like

Defines the parameter of the elliptic integral as m = 1 - p.

Returns:

K : ndarray

Value of the elliptic integral.