Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type
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🧮 math.CA
math-phmath.GRmath.MPnlin.SI
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christoffel--darbouxformulamatrixmixedmultipleorthogonalpolynomialstype
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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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