yn_zeros — SciPy v1.15.3 Manual (original) (raw)
scipy.special.
scipy.special.yn_zeros(n, nt)[source]#
Compute zeros of integer-order Bessel function Yn(x).
Compute nt zeros of the functions \(Y_n(x)\) on the interval\((0, \infty)\). The zeros are returned in ascending order.
Parameters:
nint
Order of Bessel function
ntint
Number of zeros to return
Returns:
ndarray
First nt zeros of the Bessel function.
See also
Bessel function of the second kind for integer order
Bessel function of the second kind for real order
References
Examples
Compute the first four roots of \(Y_2\).
from scipy.special import yn_zeros yn_zeros(2, 4) array([ 3.38424177, 6.79380751, 10.02347798, 13.20998671])
Plot \(Y_2\) and its first four roots.
import numpy as np import matplotlib.pyplot as plt from scipy.special import yn, yn_zeros xmin = 2 xmax = 15 x = np.linspace(xmin, xmax, 500) fig, ax = plt.subplots() ax.hlines(0, xmin, xmax, color='k') ax.plot(x, yn(2, x), label=r'$Y_2$') ax.scatter(yn_zeros(2, 4), np.zeros((4, )), s=30, c='r', ... label='Roots', zorder=5) ax.set_ylim(-0.4, 0.4) ax.set_xlim(xmin, xmax) plt.legend() plt.show()
