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Date: 6-3-2017
920
Date: 4-3-2017
1255
Date: 23-2-2019
1034
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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.
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