scipy.special.ellipkinc¶
- scipy.special.ellipkinc(phi, m) = <ufunc 'ellipkinc'>¶
Incomplete elliptic integral of the first kind
This function is defined as
\[K(\phi, m) = \int_0^{\phi} [1 - m \sin(t)^2]^{-1/2} dt\]This function is also called F(phi, m).
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
Notes
Wrapper for the Cephes [R347] routine ellik. The computation is carried out using the arithmetic-geometric mean algorithm.
References
[R347] (1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html