mindspore.ops.BesselK0

class mindspore.ops.BesselK0

Computes modified Bessel function of the second kind, order 0 element-wise.

The formula is defined as:

$$\begin{array}{r}\begin{array}{l}\\ K_0(x)=\underset{\nu \to 0}{lim}\left(\frac{\pi }{2}\right)\frac{I_{-\nu }(x)-I_{\nu }(x)}{\sin (\nu \pi )}={\int }_0^{\mathrm{\infty }}{e}^{-x\cosh t}dt\end{array}\end{array}$$

where $I_0$ is modified Bessel function of the first kind, order 0.

Warning

This is an experimental API that is subject to change or deletion.

Inputs:

• x (Tensor) - The input tensor. Data type must be float16, float32, float64.

Outputs:

Tensor, has the same shape as x.

Raises

TypeError – If x is not a Tensor of float16, float32, float64.

Supported Platforms:

GPU CPU

Examples

>>> import mindspore
>>> import numpy as np
>>> from mindspore import Tensor, ops
>>> bessel_k0 = ops.BesselK0()
>>> x = Tensor(np.array([0.24, 0.83, 0.31, 0.09]), mindspore.float32)
>>> output = bessel_k0(x)
>>> print(output)
[1.579826  0.5402144 1.3424659 2.5310173]