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.
© 1996-9 Eric W. Weisstein
1999-05-26