%0 Journal Article
%A Álvarez Fernández, Carlos
%A Fidalgo Prieto, Ulises
%A Mañas Baena, Manuel Enrique
%T The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann-Hilbert problems
%D 2010
%@ 0266-5611
%U https://hdl.handle.net/20.500.14352/44699
%X We consider the relation of the multicomponent 2D Toda hierarchy with the matrix orthogonal and biorthogonal polynomials. The multi-graded Hankel reduction of this hierarchy is considered and the corresponding generalized matrix orthogonal polynomials are studied. In particular, for these polynomials we consider the recursion relations, and for rank 1 weights its relation with multiple orthogonal polynomials of mixed type with a type II normalization and the corresponding link with a Riemann-Hilbert problem.
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