21 citations · 44 across the 31 of their papers we have counts for
29 papers · 1 filter
Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
Amílcar Branquinho, Juan EF Díaz, Ana Foulquié-Moreno +1
This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi-Piñeiro, Laguerre of both first and second kinds, as well as…
Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
This paper serves as an introduction to banded totally positive matrices, exploring various characterizations and associated properties. A significant result within is the demonstr…
Lax-type pairs in the theory of bivariate orthogonal polynomials
Amílcar Branquinho, Ana Foulquié-Moreno, Teresa E. Pérez +1
Sequences of bivariate orthogonal polynomials written as vector polynomials of increasing size satisfy a couple of three term relations with matrix coefficients. In this work, intr…
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…
Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié-Moreno +1
This paper explores a factorization using bidiagonal matrices of the recurrence matrix of Hahn multiple orthogonal polynomials. The factorization is expressed in terms of ratios in…
Banded matrices and their orthogonality
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
Banded bounded matrices, which represent non normal operators, of oscillatory type that admit a positive bidiagonal factorization are considered. To motivate the relevance of the o…