Module « scipy.special »

Fonction chebyc - module scipy.special

Signature de la fonction chebyc

def chebyc(n, monic=False) 

Description

chebyc.__doc__

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

    Defined as :math:`C_n(x) = 2T_n(x/2)`, where :math:`T_n` is the
    nth Chebychev polynomial of the first kind.

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

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

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

    See Also
    --------
    chebyt : Chebyshev polynomial of the first kind.

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