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

preprint2016arXivOpen access

Abstract

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

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