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
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
References
- 1
Cephes Mathematical Functions Library, http://www.netlib.org/cephes/