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.

See also

kv

k0e

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/