Module « scipy.special »

Fonction jn_zeros - module scipy.special

Signature de la fonction jn_zeros

def jn_zeros(n, nt) 

Description

jn_zeros.__doc__

Compute zeros of integer-order Bessel functions Jn.

    Compute `nt` zeros of the Bessel functions :math:`J_n(x)` on the
    interval :math:`(0, \infty)`. The zeros are returned in ascending
    order. Note that this interval excludes the zero at :math:`x = 0`
    that exists for :math:`n > 0`.

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

    Returns
    -------
    ndarray
        First `n` zeros of the Bessel function.

    See Also
    --------
    jv

    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 `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`` for ``n > 0`` is not included.

    >>> sc.jv(1, 0)
    0.0