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Module « scipy.special »

Fonction k1e - module scipy.special

Signature de la fonction k1e

def k1e(*args, **kwargs) 

Description

help(scipy.special.k1e)

k1e(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])


    k1e(x, out=None)

    Exponentially scaled modified Bessel function K of order 1

    Defined as::

        k1e(x) = exp(x) * k1(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
        1 at `x`.

    See Also
    --------
    kv: Modified Bessel function of the second kind of any order
    k1: Modified Bessel function of the second kind of order 1

    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 `k1e`.

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

    Examples
    --------
    In the following example `k1` returns 0 whereas `k1e` still returns a
    useful floating point number.

    >>> from scipy.special import k1, k1e
    >>> k1(1000.), k1e(1000.)
    (0., 0.03964813081296021)

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

    >>> import numpy as np
    >>> k1e(np.array([0.5, 2., 3.]))
    array([2.73100971, 1.03347685, 0.80656348])

    Plot the function from 0 to 10.

    >>> import matplotlib.pyplot as plt
    >>> fig, ax = plt.subplots()
    >>> x = np.linspace(0., 10., 1000)
    >>> y = k1e(x)
    >>> ax.plot(x, y)
    >>> plt.show()
    

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