21 citations · 44 across the 31 of their papers we have counts for
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The symmetrization problem for multiple orthogonal polynomials
Amílcar Branquinho, Edmundo J. Huertas
We analyze the effect of symmetrization in the theory of multiple orthogonal polynomials. For a symmetric sequence of type II multiple orthogonal polynomials satisfying a high-term…
Characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices
Amílcar Branquinho, Maria das Neves Rebocho
It is stated and proved a characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices. This theorem proves the equivalence between the Riccati equatio…
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…