References:
Gauss quadratures and orthogonal polynomials
G.H. Gloub and J.H. Welsch: Calculation of Gauss quadrature rule.
Math. Comput. 23 (1986), 221-230
"Numerical Recipes in C", 2nd edition,
Press, Teukolsky, Vetterling, Flannery,
The polynomials are defined by the three-term recurrence relation
$$
P_{k+1}(x)=(x-\alpha_k) P_k(x) - \beta_k P_{k-1}(x)
$$
and
$$
\mu_0 = \int{w(x)dx}
$$
orthogonal polynomial for Gaussian quadratures
References: Gauss quadratures and orthogonal polynomials
G.H. Gloub and J.H. Welsch: Calculation of Gauss quadrature rule. Math. Comput. 23 (1986), 221-230
"Numerical Recipes in C", 2nd edition, Press, Teukolsky, Vetterling, Flannery,
The polynomials are defined by the three-term recurrence relation $$ P_{k+1}(x)=(x-\alpha_k) P_k(x) - \beta_k P_{k-1}(x) $$ and $$ \mu_0 = \int{w(x)dx} $$