# scipy.special.roots_jacobi¶

scipy.special.roots_jacobi(n, alpha, beta, mu=False)[source]

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
nint

alphafloat

alpha must be > -1

betafloat

beta must be > -1

mubool, optional

If True, return the sum of the weights, optional.

Returns
xndarray

Sample points

wndarray

Weights

mufloat

Sum of the weights

#### Previous topic

scipy.special.roots_chebys

#### Next topic

scipy.special.roots_laguerre