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arXiv · 1310.7240

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

Gerardo Ariznabarreta·Manuel Manas
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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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Gerardo Ariznabarreta, Manuel Manas. 2013-10-27. Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type. https://doi.org/10.1016/j.laa.2014.04.030

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