jax.scipy.special.i1e

jax.scipy.special.i1e(x)[source]

Exponentially scaled modified Bessel function of order 1.

LAX-backend implementation of i1e(). Original docstring below.

i1e(x, /, out=None, *, where=True, casting=’same_kind’, order=’K’, dtype=None, subok=True[, signature, extobj])

i1e(x)

Defined as:

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

x (array_like) – Argument (float)

Returns

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

Return type

ndarray

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.

See also

iv(), i1()

References

1

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