mindspore.ops.bessel_j1

mindspore.ops.bessel_j1(x)

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

The formula is defined as:

$$\begin{array}{r}\begin{array}{l}\\ J_1(x)=\frac{1}{\pi }{\int }_0^{\pi }\cos (x\sin \theta -\theta )d\theta =\sum _{m=0}^{\mathrm{\infty }}\frac{(-1{)}^m{x}^{2m+1}}{2^{2m+1}m!(m+1)!}\end{array}\end{array}$$

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_j1(x)
>>> print(output)
[0.24226846  0.44005059  0.57672481 -0.06604333]