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scipy.special.us_roots¶
- scipy.special.us_roots(n, mu=False)[source]¶
Gauss-Chebyshev (second kind, shifted) quadrature.
Computes the sample points and weights for Gauss-Chebyshev quadrature. The sample points are the roots of the n-th degree shifted Chebyshev polynomial of the second kind, Un(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)=√x−x2.
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