## Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices

- Lun Zhang
- Journal of Approximation Theory
- 2017

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@article{Daems2007MultipleOP, title={Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions}, author={Evi Daems and Arno B. J. Kuijlaars}, journal={Journal of Approximation Theory}, year={2007}, volume={146}, pages={91-114} }

- Published 2007 in Journal of Approximation Theory
DOI:10.1016/j.jat.2006.12.001

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 formulated, and a RiemannHilbert problem for the multiple orthogonal polynomials of mixed type is given. We derive a Christoffel-Darboux formula for these polynomials using the solution of the Riemann-Hilbert problem. The main motivation for studying these polynomials comes from a model of nonintersecting one-dimensional… CONTINUE READING