jax.scipy.special.i0

jax.scipy.special.i0(x)[source]

Modified Bessel function of order 0.

LAX-backend implementation of i0().

Original docstring below.

Defined as,

\[I_0(x) = \sum_{k=0}^\infty \frac{(x^2/4)^k}{(k!)^2} = J_0(\imath x),\]

where \(J_0\) is the Bessel function of the first kind of order 0.

Parameters

x (array_like) – Argument (float)

Returns

I – Value of the modified Bessel function of order 0 at x.

Return type

ndarray

References

1

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