Christoffel Number

One of the quantities  appearing in the Gauss-Jacobi mechanical quadrature. They satisfy

			(1)
			(2)

and are given by

			(3)
			(4)
			(5)
			(6)

where  is the higher coefficient of .

REFERENCES:

Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 47-48, 1975.

Yakimiw, E. "Accurate Computation of Weights in Classical Gauss-Christoffel Quadrature." J. Comput. Phys. 129, 406-430, 1996.