scipy.special._orthogonal:roots_chebys

Extended Summary

Compute the sample points and weights for Gauss-Chebyshev quadrature. The sample points are the roots of the nth degree Chebyshev polynomial of the second kind, $S_n(x)$. These sample points and weights correctly integrate polynomials of degree $2n-1$ or less over the interval $[-2,2]$ with weight function $w(x)=\sqrt{1-(x/2{)}^2}$. See 22.2.7 in [AS] for more details.