Module « scipy.special »

Fonction sh_chebyu - module scipy.special

Signature de la fonction sh_chebyu

def sh_chebyu(n, monic=False) 

Description

sh_chebyu.__doc__

Shifted Chebyshev polynomial of the second kind.

    Defined as :math:`U^*_n(x) = U_n(2x - 1)` for :math:`U_n` the nth
    Chebyshev 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
    -------
    U : orthopoly1d
        Shifted Chebyshev polynomial of the second kind.

    Notes
    -----
    The polynomials :math:`U^*_n` are orthogonal over :math:`[0, 1]`
    with weight function :math:`(x - x^2)^{1/2}`.