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Amílcar Branquinho

Observed names: A Branquinho, A. Branquinho, Branquinho, Amilcar, Branquinho, Amilcar (Dep. de Matematica, Univ. de Coimbra (Portugal)), Branquinho, Amilcar (Dep. de Matematica, Univ. de Coimbra, 3000 Coimbra (Portugal)), Branquinho, Amilcar (Dep. de Matematica, Univ. de Coimbra, 3000 Coimbra(Portugal)), Branquinho, Amílcar
ORCID: 0000-0003-4685-1583
Observed ORCID: 0000-0003-4685-1583
OpenAlex ID: A5031656284
Multiple orthogonal polynomials for classical weights
2003 · A. Aptekarev, A. Branquinho, et al. · Transactions of the American Mathematical Society · 185
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Classical orthogonal polynomials: A functional approach
1994 · F. Marcell�n, A. Branquinho, et al. · Acta Applicandae Mathematicae · 141
Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
1997 · A.I. Aptekarev, A. Branquinho, et al. · Journal of Computational and Applied Mathematics · 48
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Generating new classes of orthogonal polynomials
1994 · Amílcar Branquinho, Francisco Marcellán · International Journal of Mathematics and Mathematical Sciences · 28
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Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
2023 · Amílcar Branquinho, Ana Foulquié-Moreno, et al. · Advances in Mathematics · 27
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas
2022 · Amílcar Branquinho, Ana Foulquié-Moreno, et al. · Analysis and Mathematical Physics · 27
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Oscillatory banded Hessenberg matrices, multiple orthogonal polynomials and Markov chains
2023 · Amílcar Branquinho, Ana FoulquiéMoreno, et al. · Physica Scripta · 23
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Hypergeometric Multiple Orthogonal Polynomials and Random Walks
2021 · Branquinho, Amílcar, Fernández-Díaz, Juan E., et al. · arXiv (Cornell University) · 19
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Multiple Orthogonal Polynomials and Random Walks
2021 · Branquinho, Amílcar, Foulquié-Moreno, Ana, et al. · arXiv (Cornell University) · 19
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Padé approximants and complex high order Toda lattices
2003 · A.I. Aptekarev, A. Branquinho · Journal of Computational and Applied Mathematics · 18
Matrix biorthogonal polynomials: Eigenvalue problems and non-Abelian discrete Painlevé equations
2020 · Amílcar Branquinho, Ana Foulquié Moreno, et al. · Journal of Mathematical Analysis and Applications · 16
On the full Kostant–Toda system and the discrete Korteweg–de Vries equations
2012 · D. Barrios Rolanía, A. Branquinho, et al. · Journal of Mathematical Analysis and Applications · 16
Asymptotic Behavior of Sobolev-Type Orthogonal Polynomials on a Rectifiable Jordan Curve or Arc
2002 · A. Branquinho, A. F. Moreno, et al. · Constructive Approximation · 16
Finite Markov chains and multiple orthogonal polynomials
2025 · Amílcar Branquinho, Juan E.F. Díaz, et al. · Journal of Computational and Applied Mathematics · 14
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Positive bidiagonal factorization of tetradiagonal Hessenberg matrices
2023 · Amílcar Branquinho, Ana Foulquié-Moreno, et al. · Linear Algebra and its Applications · 14
Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
2009 · D. Barrios Rolanía, A. Branquinho, et al. · Journal of Mathematical Analysis and Applications · 14
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Complex high order Toda and Volterra lattices1
2008 · D. Barrios Rolanía, A. Branquinho · The Journal of Difference Equations and Applications · 14
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Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions
2023 · Amílcar Branquinho, Juan E.F. Díaz, et al. · Journal of Mathematical Analysis and Applications · 13
Coherent pairs of linear functionals on the unit circle
2008 · A. Branquinho, A. Foulquié Moreno, et al. · Journal of Approximation Theory · 13
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Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
2024 · Branquinho, Amílcar, Foulquié-Moreno, Ana, et al. · arXiv (Cornell University) · 12
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Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials
2024 · Amílcar Branquinho, Juan E.F. Díaz, et al. · Linear Algebra and its Applications · 11
Sylvester equations for Laguerre–Hahn orthogonal polynomials on the real line
2013 · A. Branquinho, A. Paiva, et al. · Applied Mathematics and Computation · 11
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Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation
2025 · Amílcar Branquinho, Juan E. F. Díaz, et al. · Studies in Applied Mathematics · 10
Jacobi–Piñeiro Markov chains
2023 · Amílcar Branquinho, Juan E. F. Díaz, et al. · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas · 10
Integral and Hypergeometric Representations for Multiple Orthogonal Polynomials
2025 · Amílcar Branquinho, Juan E F Díaz, et al. · International Mathematics Research Notices · 9
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Works count: 114
Citation count: 951
H-index: 14
I10-index: 24
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