scipy.special.k1

scipy.special.k1(x, out=None) = <ufunc 'k1'>

Modified Bessel function of the second kind of order 1, \(K_1(x)\).

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 of order 1 at x.

See also

kv

k1e

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 k1.

References

1

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