mindspore.ops.bessel_j1

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mindspore.ops.bessel_j1(x)[source]

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

The formula is defined as:

\[\begin{split}\begin{array}{ll} \\ J_{1}(x) = \frac{1}{\pi} \int_{0}^{\pi} \cos (x \sin \theta- \theta) d \theta =\sum_{m=0}^{\infty} \frac{(-1)^{m} x^{2 m+1}}{2^{2 m+1} m !(m+1) !} \end{array}\end{split}\]
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]