21 citations · 44 across the 31 of their papers we have counts for
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Hahn multiple orthogonal polynomials of type I: Hypergeometrical expressions
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié-Moreno +1
Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Th…
Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
Spectral and factorization properties of oscillatory matrices leads to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in ter…
Positive bidiagonal factorization of tetradiagonal Hessenberg matrices
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
Recently a spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization was presented. In this paper conditions, in terms of…
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations
Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
Recently a spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization was presented. These type of matrices are oscillatory…
Monomial and Rodrigues orthogonal polynomials on the cone
Rabia Aktas, Amilcar Branquinho, Ana Foulquie-Moreno +1
We study two families of orthogonal polynomials with respect to the weight function , , on the cone $\{(x,t): \|x\| \le t, \, x \in \ma…
Oscillatory banded Hessenberg matrices, multiple orthogonal polynomials and random walks
Amilcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
A spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization is found. The large knowledge on the spectral and factorizatio…