Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type

Abstract

An alternative expression for the Christoffel--Darboux formula for multiple orthogonal polynomials of mixed type is derived from the $LU$ factorization of the moment matrix of a given measure and two sets of weights. We use the action of the generalized Jacobi matrix $J$, also responsible for the recurrence relations, on the linear forms and their duals to obtain the result.

9 pags. arXiv admin note: text overlap with arXiv:1004.3916

References in corpus (1)

• On the Christoffel--Darboux formula for generalized matrix orthogonal polynomials of multigraded-Hankel type

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