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Module « scipy.special »

Fonction gammainccinv - module scipy.special

Signature de la fonction gammainccinv

def gammainccinv(*args, **kwargs) 

Description

help(scipy.special.gammainccinv)

gammainccinv(x1, x2, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])


    gammainccinv(a, y, out=None)

    Inverse of the regularized upper incomplete gamma function.

    Given an input :math:`y` between 0 and 1, returns :math:`x` such
    that :math:`y = Q(a, x)`. Here :math:`Q` is the regularized upper
    incomplete gamma function; see `gammaincc`. This is well-defined
    because the upper incomplete gamma function is monotonic as can
    be seen from its definition in [dlmf]_.

    Parameters
    ----------
    a : array_like
        Positive parameter
    y : array_like
        Argument between 0 and 1, inclusive
    out : ndarray, optional
        Optional output array for the function values

    Returns
    -------
    scalar or ndarray
        Values of the inverse of the upper incomplete gamma function

    See Also
    --------
    gammaincc : regularized upper incomplete gamma function
    gammainc : regularized lower incomplete gamma function
    gammaincinv : inverse of the regularized lower incomplete gamma function

    References
    ----------
    .. [dlmf] NIST Digital Library of Mathematical Functions
              https://dlmf.nist.gov/8.2#E4

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

    It starts at infinity and monotonically decreases to 0.

    >>> sc.gammainccinv(0.5, [0, 0.1, 0.5, 1])
    array([       inf, 1.35277173, 0.22746821, 0.        ])

    It inverts the upper incomplete gamma function.

    >>> a, x = 0.5, [0, 0.1, 0.5, 1]
    >>> sc.gammaincc(a, sc.gammainccinv(a, x))
    array([0. , 0.1, 0.5, 1. ])

    >>> a, x = 0.5, [0, 10, 50]
    >>> sc.gammainccinv(a, sc.gammaincc(a, x))
    array([ 0., 10., 50.])
    

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