scipy.special.ynp_zeros#

scipy.special.ynp_zeros(n, nt)[source]#

Compute zeros of integer-order Bessel function derivatives 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 derivative function.

See also

yvp

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

>>> import scipy.special as sc

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

>>> n = 2
>>> x = sc.ynp_zeros(n, 3)
>>> x
array([ 5.00258293,  8.3507247 , 11.57419547])
>>> sc.yvp(n, x)
array([ 2.22044605e-16, -3.33066907e-16,  2.94902991e-16])