# scipy.special.k0#

scipy.special.k0(x, out=None) = <ufunc 'k0'>#

Modified Bessel function of the second kind of order 0, $$K_0$$.

This function is also sometimes referred to as the modified Bessel function of the third kind of order 0.

Parameters
xarray_like

Argument (float).

outndarray, optional

Optional output array for the function values

Returns
Kscalar or ndarray

Value of the modified Bessel function $$K_0$$ at x.

Notes

The range is partitioned into the two intervals [0, 2] and (2, infinity). Chebyshev polynomial expansions are employed in each interval.

This function is a wrapper for the Cephes [1] routine k0.

References

1

Cephes Mathematical Functions Library, http://www.netlib.org/cephes/