i0¶

paddle. i0 ( x, name=None ) [source]

The function used to calculate modified bessel function of order 0.

Equation:

\[I_0(x) = \sum^{\infty}_{k=0}\frac{(x^2/4)^k}{(k!)^2}\]

Parameters

• x (Tensor) – The input tensor, it’s data type should be float32, float64.

• name (str, optional) – For details, please refer to Name. Generally, no setting is required. Default: None.

Returns

• out (Tensor), A Tensor. the value of the modified bessel function of order 0 at x.

Examples

>>> import paddle

>>> x = paddle.to_tensor([0, 1, 2, 3, 4], dtype="float32")
>>> paddle.i0(x)
Tensor(shape=[5], dtype=float32, place=Place(cpu), stop_gradient=True,
[0.99999994 , 1.26606596 , 2.27958512 , 4.88079262 , 11.30192089])