# scipy.special.chebyt

scipy.special.chebyt(n, monic=False)

  Chebyshev polynomial of the first kind.

  Defined to be the solution of

  \[(1 - x^2)\frac{d^2}{dx^2}T_n - x\frac{d}{dx}T_n + n^2T_n = 0;\]

  \(T_n\) is a polynomial of degree \(n\).

  Parameters
    n int

      Degree of the polynomial.

    monic bool, optional

      If True, scale the leading coefficient to be 1. Default is False.

  Returns
    T orthopoly1d

      Chebyshev polynomial of the first kind.

  See also

  `chebyu`

    Chebyshev polynomial of the second kind.

  Notes

  The polynomials \(T_n\) are orthogonal over \([-1, 1]\) with weight function \((1 - x^2)^{-1/2}\).

scipy.special.legendre scipy.special.chebyu