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math.CA2005★ 1 cited
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
E. Daems, A. B. J. Kuijlaars
We present a generalization of multiple orthogonal polynomials of type I and type II, which we call multiple orthogonal polynomials of mixed type. Some basic properties are formula…
math.CA2004
A Christoffel-Darboux formula for multiple orthogonal polynomials
E. Daems, A. B. J. Kuijlaars
Bleher and Kuijlaars recently showed that the eigenvalue correlations from matrix ensembles with external source can be expressed by means of a kernel built out of special multiple…