12 citations · 14 across the 2 of their papers we have counts for
3 papers
Matrix biorthogonal polynomials in the unit circle: Riemann-Hilbert problem and matrix discrete Painleve II system
Giovanni A. Cassatella-Contra, Manuel Mañas
Matrix Szego biorthogonal polynomials for quasi-definite matrices of measures are studied. For matrices of Holder weights a Riemann-Hilbert problem is uniquely solved in terms of t…
Singularity confinement for matrix discrete Painleve Equations
Giovanni A. Cassatella-Contra, Manuel Manas, Piergiulio Tempesta
We study the analytic properties of a matrix discrete system introduced in [7]. The singularity confinement for this system is shown to hold generically, i.e. in the whole space of…
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Giovanni A. Cassatella-Contra, Manuel Manas
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations f…