Gerardo Araznibarreta, Manuel Manas
Published 2013-10-27Version 1
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.
Comments: 9 pags. arXiv admin note: text overlap with arXiv:1004.3916
Multiple Orthogonal Polynomials and Random Walks
Bidiagonal matrix factorisations related to multiple orthogonal polynomials
On the Christoffel--Darboux formula for generalized matrix orthogonal polynomials of multigraded-Hankel type
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