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Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type (1310.7240v2)
Published 27 Oct 2013 in math.CA, math-ph, math.GR, math.MP, and nlin.SI
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.
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