authors
- ALVAREZ FERNANDEZ, CARLOS
- FIDALGO PRIETO, ULISES
- MAÑAS BAENA, MANUEL
The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann-Hilbert problems
Articles
Overview
published in
- INVERSE PROBLEMS Journal
publication date
- May 2010
start page
- 1
end page
- 15
issue
- 5 (055009)
volume
- 26
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0266-5611
Electronic International Standard Serial Number (EISSN)
- 1361-6420
abstract
- 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.