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Module « scipy.special »

Fonction k0 - module scipy.special

Signature de la fonction k0

def k0(*args, **kwargs) 

Description

help(scipy.special.k0)

k0(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])


    k0(x, out=None)

    Modified Bessel function of the second kind of order 0, :math:`K_0`.

    This function is also sometimes referred to as the modified Bessel
    function of the third kind of order 0.

    Parameters
    ----------
    x : array_like
        Argument (float).
    out : ndarray, optional
        Optional output array for the function values

    Returns
    -------
    K : scalar or ndarray
        Value of the modified Bessel function :math:`K_0` at `x`.

    See Also
    --------
    kv: Modified Bessel function of the second kind of any order
    k0e: Exponentially scaled modified Bessel function of the second kind

    Notes
    -----
    The range is partitioned into the two intervals [0, 2] and (2, infinity).
    Chebyshev polynomial expansions are employed in each interval.

    This function is a wrapper for the Cephes [1]_ routine `k0`.

    References
    ----------
    .. [1] Cephes Mathematical Functions Library,
           http://www.netlib.org/cephes/

    Examples
    --------
    Calculate the function at one point:

    >>> from scipy.special import k0
    >>> k0(1.)
    0.42102443824070823

    Calculate the function at several points:

    >>> import numpy as np
    >>> k0(np.array([0.5, 2., 3.]))
    array([0.92441907, 0.11389387, 0.0347395 ])

    Plot the function from 0 to 10.

    >>> import matplotlib.pyplot as plt
    >>> fig, ax = plt.subplots()
    >>> x = np.linspace(0., 10., 1000)
    >>> y = k0(x)
    >>> ax.plot(x, y)
    >>> plt.show()
    

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