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# scipy.special.roots_jacobi

`scipy.special.``roots_jacobi`(n, alpha, beta, mu=False)

  Gauss-Jacobi quadrature.

  Computes the sample points and weights for Gauss-Jacobi quadrature. The sample points are the roots of the n-th degree Jacobi polynomial, \(P^{\alpha, \beta}_n(x)\). These sample points and weights correctly integrate polynomials of degree \(2n - 1\) or less over the interval \([-1, 1]\) with weight function \(f(x) = (1 - x)^{\alpha} (1 + x)^{\beta}\).

  Parameters: | n : int quadrature order alpha : float alpha must be > -1 beta : float beta 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

  See also

  `scipy.integrate.quadrature`, `scipy.integrate.fixed_quad`