# scipy.special.ellipk¶

scipy.special.ellipk(m)[source]

Complete elliptic integral of the first kind.

This function is defined as

$K(m) = \int_0^{\pi/2} [1 - m \sin(t)^2]^{-1/2} dt$
Parameters: m : array_like The parameter of the elliptic integral. K : array_like Value of the elliptic integral.

ellipkm1
Complete elliptic integral of the first kind around m = 1
ellipkinc
Incomplete elliptic integral of the first kind
ellipe
Complete elliptic integral of the second kind
ellipeinc
Incomplete elliptic integral of the second kind

Notes

For more precision around point m = 1, use ellipkm1, which this function calls.

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