Processing math: 100%
SciPy

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.cg_roots

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

Gauss-Gegenbauer quadrature.

Computes the sample points and weights for Gauss-Gegenbauer quadrature. The sample points are the roots of the n-th degree Gegenbauer polynomial, Cαn(x). These sample points and weights correctly integrate polynomials of degree 2n1 or less over the interval [1,1] with weight function f(x)=(1x2)α1/2.

Parameters:

n : int

quadrature order

alpha : float

alpha must be > -0.5

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

Previous topic

scipy.special.c_roots

Next topic

scipy.special.h_roots