jax.scipy.special.i1

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jax.scipy.special.i1#

jax.scipy.special.i1(x)[source]#

Modified Bessel function of order 1.

LAX-backend implementation of scipy.special.i1().

Original docstring below.

Defined as,

\[I_1(x) = \frac{1}{2}x \sum_{k=0}^\infty \frac{(x^2/4)^k}{k! (k + 1)!} = -\imath J_1(\imath x),\]

where \(J_1\) is the Bessel function of the first kind of order 1.

Parameters:

x (array_like) – Argument (float)

Returns:

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

Return type:

scalar or ndarray

References