Module « scipy.special »

Fonction kvp - module scipy.special

Signature de la fonction kvp

def kvp(v, z, n=1) 

Description

kvp.__doc__

Compute nth derivative of real-order modified Bessel function Kv(z)

    Kv(z) is the modified Bessel function of the second kind.
    Derivative is calculated with respect to `z`.

    Parameters
    ----------
    v : array_like of float
        Order of Bessel function
    z : array_like of complex
        Argument at which to evaluate the derivative
    n : int
        Order of derivative.  Default is first derivative.

    Returns
    -------
    out : ndarray
        The results

    Examples
    --------
    Calculate multiple values at order 5:

    >>> from scipy.special import kvp
    >>> kvp(5, (1, 2, 3+5j))
    array([-1.84903536e+03+0.j        , -2.57735387e+01+0.j        ,
           -3.06627741e-02+0.08750845j])


    Calculate for a single value at multiple orders:

    >>> kvp((4, 4.5, 5), 1)
    array([ -184.0309,  -568.9585, -1849.0354])

    Notes
    -----
    The derivative is computed using the relation DLFM 10.29.5 [2]_.

    References
    ----------
    .. [1] Zhang, Shanjie and Jin, Jianming. "Computation of Special
           Functions", John Wiley and Sons, 1996, chapter 6.
           https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html
    .. [2] NIST Digital Library of Mathematical Functions.
           https://dlmf.nist.gov/10.29.E5