3 papers
math.CA2023
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…
math.CA2019
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…
math.CA2018
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…