ns of the first kind

References
----------
.. [1] Zhang, Shanjie and Jin, Jianming. "Computation of Special
       Functions", John Wiley and Sons, 1996, chapter 5.
       https://people.sc.fsu.edu/~jburkardt/f77_src/special_functions/special_functions.html

Examples
--------
Compute the first four roots of :math:`J_2'`.

>>> from scipy.special import jnp_zeros
>>> jnp_zeros(2, 4)
array([ 3.05423693,  6.70613319,  9.96946782, 13.17037086])

As `jnp_zeros` yields the roots of :math:`J_n'`, it can be used to
compute the locations of the peaks of :math:`J_n`. Plot
:math:`J_2`, :math:`J_2'` and the locations of the roots of :math:`J_2'`.

>>> import numpy as np
>>> import matplotlib.pyplot as plt
>>> from scipy.special import jn, jnp_zeros, jvp
>>> j2_roots = jnp_zeros(2, 4)
>>> xmax = 15
>>> x = np.linspace(0, xmax, 500)
>>> fig, ax = plt.subplots()
>>> ax.plot(x, jn(2, x), label=r'$J_2$')
>>> ax.plot(x, jvp(2, x, 1), label=r"$J_2'$")
>>> ax.hlines(0, 0, xmax, color='k')
>>> ax.scatter(j2_roots, np.zeros((4, )), s=30, c='r',
...            label=r"Roots of $J_2'$", zorder=5)
>>> ax.set_ylim(-0.4, 0.8)
>>> ax.set_xlim(0, xmax)
>>> plt.legend()
>>> plt.show()
r