90 citations · 153 across the 5 of their papers we have counts for
5 papers
Multiple Orthogonal Polynomials and Random Walks
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas +2
Given a non-negative Jacobi matrix describing higher order recurrence relations for multiple orthogonal polynomials of type~II and corresponding linear forms of type I, a general s…
Transformation theory and Christoffel formulas for matrix biorthogonal polynomials on the real line
Carlos Álvarez-Fernández, Gerardo Ariznabarreta, Juan C. García-Ardila +2
In this paper transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegene…
Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy
Carlos Álvarez-Fernández, Gerardo Ariznabarreta, Juan Carlos García-Ardila +2
Given a matrix polynomial , matrix bi-orthogonal polynomials with respect to the sesquilinear form $\langle P(x),Q(x)\rangle_W=\int P(x) W(x)\operatorname{d}μ(x)(Q(x))^{\top}…
On the Christoffel--Darboux formula for generalized matrix orthogonal polynomials of multigraded-Hankel type
Carlos Álvarez-Fernández, Manuel Mañas
We obtain an extension of the Christoffel--Darboux formula for matrix orthogonal polynomials with a generalized Hankel symmetry, including the Adler-van Moerbeke generalized orthog…
Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
Carlos Álvarez-Fernández, Ulises Fidalgo Prieto, Manuel Mañas
Multiple orthogonality is considered in the realm of a Gauss--Borel factorization problem for a semi-infinite moment matrix. Perfect combinations of weights and a finite Borel meas…