Christoffel Formula
Let 
be orthogonal Polynomials associated with the distribution 
on the interval 
. Alsolet
(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.
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