scipy.special.ps_roots¶

scipy.special.ps_roots(n, mu=False)[source]

Computes the sample points and weights for Gauss-Legendre quadrature. The sample points are the roots of the n-th degree shifted Legendre polynomial $$P^*_n(x)$$. These sample points and weights correctly integrate polynomials of degree $$2n - 1$$ or less over the interval $$[0, 1]$$ with weight function $$f(x) = 1.0$$.