scipy.special.jn_zeros#
- scipy.special.jn_zeros(n, nt)[source]#
Compute zeros of integer-order Bessel functions Jn.
Compute nt zeros of the Bessel functions \(J_n(x)\) on the interval \((0, \infty)\). The zeros are returned in ascending order. Note that this interval excludes the zero at \(x = 0\) that exists for \(n > 0\).
- Parameters
- nint
Order of Bessel function
- ntint
Number of zeros to return
- Returns
- ndarray
First nt zeros of the Bessel function.
See also
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
jv
.>>> n = 1 >>> x = sc.jn_zeros(n, 3) >>> x array([ 3.83170597, 7.01558667, 10.17346814]) >>> sc.jv(n, x) array([-0.00000000e+00, 1.72975330e-16, 2.89157291e-16])
Note that the zero at
x = 0
forn > 0
is not included.>>> sc.jv(1, 0) 0.0