21 citations · 44 across the 31 of their papers we have counts for
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Hypergeometric Multiple Orthogonal Polynomials and Random Walks
Amílcar Branquinho, Juan E. Fernández-Díaz, Ana Foulquié-Moreno +1
The recently found hypergeometric multiple orthogonal polynomials on the step-line by Lima and Loureiro are shown to be random walk polynomials. It is proven that the corresponding…
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas
Amilcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
Multiple orthogonal polynomials with respect to two weights on the step-line are considered. A connection between different dual spectral matrices, one banded (recursion matrix) an…
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…