scipy.special.bei#
- scipy.special.bei(x, out=None) = <ufunc 'bei'>#
- Kelvin function bei. - Defined as \[\mathrm{bei}(x) = \Im[J_0(x e^{3 \pi i / 4})]\]- where \(J_0\) is the Bessel function of the first kind of order zero (see - jv). See [dlmf] for more details.- Parameters:
- xarray_like
- Real argument. 
- outndarray, optional
- Optional output array for the function results. 
 
- Returns:
- scalar or ndarray
- Values of the Kelvin function. 
 
 - See also - References [dlmf]- NIST, Digital Library of Mathematical Functions, https://dlmf.nist.gov/10.61 - Examples - It can be expressed using Bessel functions. - >>> import numpy as np >>> import scipy.special as sc >>> x = np.array([1.0, 2.0, 3.0, 4.0]) >>> sc.jv(0, x * np.exp(3 * np.pi * 1j / 4)).imag array([0.24956604, 0.97229163, 1.93758679, 2.29269032]) >>> sc.bei(x) array([0.24956604, 0.97229163, 1.93758679, 2.29269032])