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Matrix biorthogonal polynomials: Eigenvalue problems and non-Abelian discrete Painleve equations A Riemann-Hilbert problem perspective

Branquinho, Amilcar ; Foulquié Moreno, Ana ; Mañas Baena, Manuel | Academic Press Inc Elsevier Science | 2021-02-15

In this paper we use the Riemann-Hilbert problem, with jumps supported on appropriate curves in the complex plane, for matrix biorthogonal polynomials and apply it to find Sylvester systems of differential equations for the orthogonal polynomial[...]

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