Skip to main content
`Ctrl`+`K`
scipy.special.

# roots_chebyc

scipy.special.roots_chebyc(n, mu=False)

  Gauss-Chebyshev (first kind) quadrature.

  Compute the sample points and weights for Gauss-Chebyshev quadrature. The sample points are the roots of the nth degree Chebyshev polynomial of the first kind, \(C_n(x)\). These sample points and weights correctly integrate polynomials of degree \(2n - 1\) or less over the interval \([-2, 2]\) with weight function \(w(x) = 1 / \sqrt{1 - (x/2)^2}\). See 22.2.6 in [AS] for more details.

  Parameters:
    nint

      quadrature order

    mubool, optional

      If True, return the sum of the weights, optional.

  Returns:
    xndarray

      Sample points

    wndarray

      Weights

    mufloat

      Sum of the weights

  See also

  `scipy.integrate.fixed_quad`

  References

  [AS]

  Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.