39 citations · 43 across the 3 of their papers we have counts for
3 papers
math.CA2022★ 1 cited
Matrix Jacobi Biorthogonal Polynomials via Riemann-Hilbert problem
Amílcar Branquinho, Ana Foulquié-Moreno, Assil Fradi +1
We consider matrix orthogonal polynomials related to Jacobi type matrices of weights that can be defined in terms of a given matrix Pearson equation. Stating a Riemann-Hilbert prob…
math.CA2014★ 39 cited
Multivariate orthogonal polynomial and integrable systems
Gerardo Ariznabarreta, Manuel Mañas
Multivariate orthogonal polynomials in real dimensions are considered from the perspective of the Cholesky factorization of a moment matrix. The approach allows for the constru…
dg-ga1997★ 3 cited
Sequences of Levy Transformations and Multi-Wroński Determinant Solutions of the Darboux System
Q. P. Liu, Manuel Mañas
Sequences of Levy transformations for the Darboux system of conjugates nets in multidimensions are studied. We show that after a suitable number of Levy transformations, with at le…