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.
- Uniform Apodization Function
- Uniform Boundedness Principle
- Uniform Convergence
- Uniform Distribution
- Uniform Polyhedron
- Uniform Variate
- Unimodal Distribution
- Unimodal Sequence
- Unimodular Group
- Unimodular Matrix
- Unimodular Transformation
- Union
- Uniplanar Double Point
- Unipotent
- Unique
- Unique Factorization Theorem
- Unit
- Unital
- Unitary Aliquot Sequence
- Unitary Amicable Pair
- Unitary Divisor
- Unitary Group
- Unitary Matrix
- Unitary Multiperfect Number
- Unitary Multiplicative Character