SciPy

scipy.special.k0

scipy.special.k0(x) = <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:

x : array_like

Argument (float).

Returns:

K : 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 [R404] routine k0.

References

[R404](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

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