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Module « scipy.special »

Fonction gammaincinv - module scipy.special

Signature de la fonction gammaincinv

def gammaincinv(*args, **kwargs) 

Description

help(scipy.special.gammaincinv)

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


    gammaincinv(a, y, out=None)

    Inverse to the regularized lower incomplete gamma function.

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

    Parameters
    ----------
    a : array_like
        Positive parameter
    y : array_like
        Parameter 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 lower incomplete gamma function

    See Also
    --------
    gammainc : regularized lower incomplete gamma function
    gammaincc : regularized upper incomplete gamma function
    gammainccinv : inverse of the regularized upper 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 0 and monotonically increases to infinity.

    >>> sc.gammaincinv(0.5, [0, 0.1 ,0.5, 1])
    array([0.        , 0.00789539, 0.22746821,        inf])

    It inverts the lower incomplete gamma function.

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

    >>> a, x = 0.5, [0, 10, 25]
    >>> sc.gammaincinv(a, sc.gammainc(a, x))
    array([ 0.        , 10.        , 25.00001465])
    

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