SciPy

scipy.special.ellipkm1

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

The 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 : array_like

Value of the elliptic integral.

See also

ellipk

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