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 [R442] routine i1e.

References

[R442]

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