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 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])