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scipy.special.js_roots¶
- scipy.special.js_roots(n, p1, q1, mu=False)[source]¶
Gauss-Jacobi (shifted) quadrature.
Computes the sample points and weights for Gauss-Jacobi (shifted) quadrature. The sample points are the roots of the n-th degree shifted Jacobi polynomial, Gp,qn(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−x)p−qxq−1
Parameters: n : int
quadrature order
p1 : float
(p1 - q1) must be > -1
q1 : float
q1 must be > 0
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