mindspore.ops.bessel_k1

mindspore.ops.bessel_k1(x)[source]

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

The formula is defined as:

\[\begin{split}\begin{array}{ll} \\ K_{1}(x)=\lim_{\nu \to 1} \left(\frac{\pi}{2}\right) \frac{I_{-\nu}(x)- I_{\nu}(x)}{\sin (\nu \pi)} = \int_{0}^{\infty} e^{-x \cosh t} \cosh (t) d t \end{array}\end{split}\]

where \(I_{1}\) is modified Bessel function of the first kind, order 1.

Parameters

x (Tensor) – The input tensor. The data type must be float16, float32 or float64.

Returns

Tensor, has the same shape and dtype as the x.

Raises

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

Supported Platforms:: GPU CPU

Examples

>>> import mindspore
>>> import numpy as np
>>> from mindspore import Tensor, ops
>>> x = Tensor(np.array([0.5, 1., 2., 4.]), mindspore.float32)
>>> output = ops.bessel_k1(x)
>>> print(output)
[1.65644112  0.60190723  0.13986588  0.0124835]