4 papers
Hypergeometric Expressions for Type I Jacobi-Piñeiro Orthogonal Polynomials with Arbitrary Number of Weights
Amílcar Branquinho, Juan EF Díaz, Ana Foulquié Moreno +1
For a general number of measures, we provide explicit expressions for the Jacobi-Piñeiro and Laguerre of the first kind multiple orthogonal polynomials of type I, present…
Riemann-Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: Eigenvalue Problems and the Matrix Discrete Painlevé IV
Amilcar Branquinho, Ana Foulquié Moreno, Manuel Mañas
In this paper the Riemann-Hilbert problem, with jump supported on a appropriate curve on the complex plane with a finite endpoint at the origin, is used for the study of correspond…
Matrix Biorthogonal Polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations
Amilcar Branquinho, Ana Foulquié Moreno, Manuel Mañas
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 Sylveste…
Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems
Amílcar Branquinho, Ana Foulquié Moreno, Ana Mendes
In this work we characterize a full Kostant-Toda system in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the soluti…