jax.numpy.i0#

jax.numpy.i0(x)[source]#

Calculate modified Bessel function of first kind, zeroth order.

JAX implementation ofnumpy.i0().

Modified Bessel function of first kind, zeroth order is defined by:

\[\mathrm{i0}(x) = I_0(x) = \sum_{k=0}^{\infty} \frac{(x^2/4)^k}{(k!)^2}\]

Parameters:

x (ArrayLike) – scalar or array. Specifies the argument of Bessel function. Complex inputsare not supported.

Returns:

An array containing the corresponding values of the modified Bessel functionofx.

Return type:

Array

See also

• jax.scipy.special.i0(): Calculates the modified Bessel function ofzeroth order.

• jax.scipy.special.i1(): Calculates the modified Bessel function offirst order.

• jax.scipy.special.i0e(): Calculates the exponentially scaled modifiedBessel function of zeroth order.

Examples

>>>x=jnp.array([-2,-1,0,1,2])>>>jnp.i0(x)Array([2.2795851, 1.266066 , 1.0000001, 1.266066 , 2.2795851], dtype=float32)