i0

ivy.i0(x, /, *, out=None)

Compute the Bessel i0 function of x element-wise.

Parameters:

• x (Union[Array, NativeArray]) – Array input.

• out (Optional[Array], default: None) – optional output array, for writing the result to.

Return type:

Array

Returns:

ret – Array with the modified Bessel function evaluated at each of the elements of x.

Examples

>>> x = ivy.array([1, 2, 3])
>>> ivy.i0(x)
ivy.array([1.26606588, 2.2795853 , 4.88079259])

Array.i0(self, /, *, out=None)

ivy.Array instance method variant of ivy.i0. This method simply wraps the function, and so the docstring for ivy.i0 also applies to this method with minimal changes.

Parameters:

• self (Array) – Input array.

• out (Optional[Array], default: None) – Optional output, for writing the result to.

Return type:

Array

Returns:

ret – Array with modified Bessel function of the first kind, order 0.

Examples

>>> x = ivy.array([[1, 2, 3]])
>>> x.i0()
ivy.array([1.26606588, 2.2795853 , 4.88079259])

Container.i0(self, /, *, out=None)

ivy.Container instance method variant of ivy.i0. This method simply wraps the function, and so the docstring for ivy.i0 also applies to this method with minimal changes.

Parameters:

• self (Container) – the container with array inputs.

• out (Optional[Container], default: None) – optional output container, for writing the result to.

Return type:

Container

Returns:

ret – container including arrays with the modified Bessel function evaluated at each of the elements of x.

Examples

With one ivy.Container input:

>>> x = ivy.Container(a=ivy.array([1, 2, 3]), b=ivy.array(4))
>>> x.i0()
{
    a: ivy.array([1.26606588, 2.2795853 , 4.88079259])
    b: ivy.array(11.30192195)
}