mindspore.ops.BesselK1

class mindspore.ops.BesselK1

Computes modified Bessel function of the second kind, order 1 element-wise.

The formula is defined as:

$$\begin{array}{r}\begin{array}{l}\\ K_1(x)=\underset{\nu \to 1}{lim}\left(\frac{\pi }{2}\right)\frac{I_{-\nu }(x)-I_{\nu }(x)}{\sin (\nu \pi )}={\int }_0^{\mathrm{\infty }}{e}^{-x\cosh t}\cosh (t)dt\end{array}\end{array}$$

where $I_1$ is modified Bessel function of the first kind, order 1.

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_k1 = ops.BesselK1()
>>> x = Tensor(np.array([0.24, 0.83, 0.31, 0.09]), mindspore.float32)
>>> output = bessel_k1(x)
>>> print(output)
[3.9190812  0.8143549  2.9440577 10.974864]