`scipy.special._basic:yn_zeros`

source: build-install/usr/lib/python3.14/site-packages/scipy/special/_basic.py:448

Signature

def yn_zeros(n, nt)

Summary

Compute zeros of integer-order Bessel function Yn(x).

Extended Summary

Compute nt zeros of the functions $Y_{n} (x)$ on the interval $(0, \infty)$ . The zeros are returned in ascending order.

Parameters

n : int: Order of Bessel function
nt : int: Number of zeros to return

Returns

: ndarray: First nt zeros of the Bessel function.

Examples

Compute the first four roots of :math:`Y_2`.

from scipy.special import yn_zeros

✓

yn_zeros(2, 4)

✗

array([ 3.38424,  6.79381, 10.02348, 13.20999])

Plot :math:`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()

✗

<matplotlib.legend.Legend object at 0x7f3f58a892b0>

plt.show()

✓

Aliases

scipy.special.yn_zeros