# scipy.special.i1e

scipy.special.i1e(x) = <ufunc 'i1e'>

  Exponentially scaled modified Bessel function of order 1.

  Defined as:

      i1e(x) = exp(-abs(x)) * i1(x)

  Parameters
    x array_like

      Argument (float)

  Returns
    I ndarray

      Value of the exponentially scaled modified Bessel function of order 1 at x.

  See also

  `iv`
  `i1`

  Notes

  The range is partitioned into the two intervals [0, 8] and (8, infinity). Chebyshev polynomial expansions are employed in each interval. The polynomial expansions used are the same as those in `i1`, but they are not multiplied by the dominant exponential factor.

  This function is a wrapper for the Cephes [1] routine `i1e`.

  References

  1

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

scipy.special.i1 scipy.special.k0