scipy.special.yn_zeros

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

yn, yv

References

1

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 5. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html

Examples

>>> import scipy.special as sc

We can check that we are getting approximations of the zeros by evaluating them with yn.

>>> n = 2
>>> x = sc.yn_zeros(n, 3)
>>> x
array([ 3.38424177,  6.79380751, 10.02347798])
>>> sc.yn(n, x)
array([-1.94289029e-16,  8.32667268e-17, -1.52655666e-16])