Module « scipy.special »

Fonction chebys - module scipy.special

Signature de la fonction chebys

def chebys(n, monic=False) 

Description

chebys.__doc__

Chebyshev polynomial of the second kind on :math:`[-2, 2]`.

    Defined as :math:`S_n(x) = U_n(x/2)` where :math:`U_n` is the
    nth Chebychev polynomial of the second kind.

    Parameters
    ----------
    n : int
        Degree of the polynomial.
    monic : bool, optional
        If `True`, scale the leading coefficient to be 1. Default is
        `False`.

    Returns
    -------
    S : orthopoly1d
        Chebyshev polynomial of the second kind on :math:`[-2, 2]`.

    Notes
    -----
    The polynomials :math:`S_n(x)` are orthogonal over :math:`[-2, 2]`
    with weight function :math:`\sqrt{1 - (x/2)}^2`.

    See Also
    --------
    chebyu : Chebyshev polynomial of the second kind

    References
    ----------
    .. [1] Abramowitz and Stegun, "Handbook of Mathematical Functions"
           Section 22. National Bureau of Standards, 1972.