scipy.special.i0e

scipy.special.i0e(x, out=None) = <ufunc 'i0e'>

Exponentially scaled modified Bessel function of order 0.

Defined as:

i0e(x) = exp(-abs(x)) * i0(x).

Parameters

xarray_like

Argument (float)

outndarray, optional

Optional output array for the function values

Returns

Iscalar or ndarray

Value of the exponentially scaled modified Bessel function of order 0 at x.

See also

iv

i0

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 i0, but they are not multiplied by the dominant exponential factor.

This function is a wrapper for the Cephes [1] routine i0e.

References

1

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