5.7.2.2.4. scipy.special.ellipkinc¶

scipy.special.ellipkinc(phi, m) = <ufunc 'ellipkinc'>¶

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

See also

ellipkm1

Complete elliptic integral of the first kind, near m = 1

ellipk

Complete elliptic integral of the first kind

ellipe

Complete elliptic integral of the second kind

ellipeinc

Incomplete elliptic integral of the second kind

Notes

This function is also called F(phi, m).