6 papers
Bidiagonal matrix factorisations related to multiple orthogonal polynomials
AmÃlcar Branquinho, Juan E. F. DÃaz, Ana Foulquié-Moreno +2
We provide necessary and sufficient conditions for the Hessenberg recurrence matrix associated with a system of multiple orthogonal polynomials to admit a factorisation as a produc…
Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality
AmÃlcar Branquinho, Juan EF DÃaz, Ana Foulquié-Moreno +2
This paper demonstrates how to explicitly construct a bidiagonal factorization of the banded recurrence matrix that appears in mixed multiple orthogonality on the step-line in term…
Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
AmÃlcar Branquinho, Juan E. F. DÃaz, Ana Foulquié-Moreno +2
This work explores classical discrete multiple orthogonal polynomials, including Hahn, Meixner of the first and second kinds, Kravchuk, and Charlier polynomials, with an arbitrary…
Integral and hypergeometric representations for multiple orthogonal polynomials
AmÃlcar Branquinho, Juan EF DÃaz, Ana Foulquié-Moreno +2
This paper addresses two primary objectives in the realm of classical multiple orthogonal polynomials with an arbitrary number of weights. Firstly, it establishes new and explicit…
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…
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…