3 papers
math.PR2024
Finite Markov chains and multiple orthogonal polynomials
AmÃlcar Branquinho, Juan EF DÃaz, Ana Foulquié-Moreno +1
This paper investigates stochastic finite matrices and the corresponding finite Markov chains constructed using recurrence matrices for general families of orthogonal polynomials a…
math.CA2024
Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
AmÃlcar Branquinho, Juan EF DÃaz, 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…
math.CA2024
Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
AmÃlcar 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…