33 citations · 33 across the 1 of their papers we have counts for
2 papers
math.CA2012★ 33 cited
Orthogonal Laurent polynomials in unit circle, extended CMV ordering and 2D Toda type integrable hierarchies
Carlos Alvarez-Fernandez, Manuel Manas
Orthogonal Laurent polynomials in the unit circle and the theory of Toda-like integrable systems are connected using the Gauss--Borel factorization of a Cantero-Moral-Velazquez mom…
nlin.SI2009
The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann--Hilbert problems
Carlos Alvarez-Fernandez, Ulises Fidalgo, Manuel Manas
We consider the relation of the multi-component 2D Toda hierarchy with matrix orthogonal and biorthogonal polynomials. The multi-graded Hankel reduction of this hierarchy is consid…