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Module « scipy.special »

Fonction rgamma - module scipy.special

Signature de la fonction rgamma

def rgamma(*args, **kwargs) 

Description

help(scipy.special.rgamma)

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


    rgamma(z, out=None)

    Reciprocal of the gamma function.

    Defined as :math:`1 / \Gamma(z)`, where :math:`\Gamma` is the
    gamma function. For more on the gamma function see `gamma`.

    Parameters
    ----------
    z : array_like
        Real or complex valued input
    out : ndarray, optional
        Optional output array for the function results

    Returns
    -------
    scalar or ndarray
        Function results

    See Also
    --------
    gamma, gammaln, loggamma

    Notes
    -----
    The gamma function has no zeros and has simple poles at
    nonpositive integers, so `rgamma` is an entire function with zeros
    at the nonpositive integers. See the discussion in [dlmf]_ for
    more details.

    References
    ----------
    .. [dlmf] Nist, Digital Library of Mathematical functions,
        https://dlmf.nist.gov/5.2#i

    Examples
    --------
    >>> import scipy.special as sc

    It is the reciprocal of the gamma function.

    >>> sc.rgamma([1, 2, 3, 4])
    array([1.        , 1.        , 0.5       , 0.16666667])
    >>> 1 / sc.gamma([1, 2, 3, 4])
    array([1.        , 1.        , 0.5       , 0.16666667])

    It is zero at nonpositive integers.

    >>> sc.rgamma([0, -1, -2, -3])
    array([0., 0., 0., 0.])

    It rapidly underflows to zero along the positive real axis.

    >>> sc.rgamma([10, 100, 179])
    array([2.75573192e-006, 1.07151029e-156, 0.00000000e+000])
    

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