1 citations · 1 across the 5 of their papers we have counts for
5 papers
Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
Amílcar Branquinho, Juan E. F. Díaz, 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…
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…
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…
Markov Chains and Multiple Orthogonality
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié-Moren +1
In this work we survey on connections of Markov chains and the theory of multiple orthogonality. Here we mainly concentrate on give a procedure to generate stochastic tetra diagona…