## Christoffel Formula

Let be orthogonal Polynomials associated with the distribution on the interval . Also let

(for ) be a Polynomial of order which is Nonnegative in this interval. Then the orthogonal Polynomials associated with the distribution can be represented in terms of the Polynomials as

In the case of a zero of multiplicity , we replace the corresponding rows by the derivatives of order 0, 1, 2, ..., of the Polynomials , ..., at .

References

Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., pp. 29-30, 1975.