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Module « scipy.special »

Fonction k0e - module scipy.special

Signature de la fonction k0e

def k0e(*args, **kwargs) 

Description

help(scipy.special.k0e)

k0e(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])


    k0e(x, out=None)

    Exponentially scaled modified Bessel function K of order 0

    Defined as::

        k0e(x) = exp(x) * k0(x).

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

    Returns
    -------
    K : scalar or ndarray
        Value of the exponentially scaled modified Bessel function K of order
        0 at `x`.

    See Also
    --------
    kv: Modified Bessel function of the second kind of any order
    k0: 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 `k0e`. `k0e` is
    useful for large arguments: for these, `k0` easily underflows.

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

    Examples
    --------
    In the following example `k0` returns 0 whereas `k0e` still returns a
    useful finite number:

    >>> from scipy.special import k0, k0e
    >>> k0(1000.), k0e(1000)
    (0., 0.03962832160075422)

    Calculate the function at several points by providing a NumPy array or
    list for `x`:

    >>> import numpy as np
    >>> k0e(np.array([0.5, 2., 3.]))
    array([1.52410939, 0.84156822, 0.6977616 ])

    Plot the function from 0 to 10.

    >>> import matplotlib.pyplot as plt
    >>> fig, ax = plt.subplots()
    >>> x = np.linspace(0., 10., 1000)
    >>> y = k0e(x)
    >>> ax.plot(x, y)
    >>> plt.show()
    

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