# scipy.special.k1

scipy.special.k1(x) = <ufunc 'k1'>

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

  Parameters
    x array_like

      Argument (float)

  Returns
    K 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/

scipy.special.k0e scipy.special.k1e