This is documentation for an old release of SciPy (version 0.17.1). Search for this page in the documentation of the latest stable release (version 1.15.1).
scipy.special.p_roots¶
- scipy.special.p_roots(n, mu=False)[source]¶
Gauss-Legendre quadrature.
Computes the sample points and weights for Gauss-Legendre quadrature. The sample points are the roots of the n-th degree Legendre polynomial Pn(x). These sample points and weights correctly integrate polynomials of degree 2n−1 or less over the interval [−1,1] with weight function f(x)=1.0.
Parameters: n : int
quadrature order
mu : bool, optional
If True, return the sum of the weights, optional.
Returns: x : ndarray
Sample points
w : ndarray
Weights
mu : float
Sum of the weights