• Amílcar Branquinho

  • Research Area

    Riemann-Hilbert problems, Multiple orthogonal polynomials, Special functions

  • Institution

    University of Coimbra

  • PhD

    Institution: University of Coimbra
    Year: 1996

  • Main research publications

    • Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line (with A. Paiva and M.N. Rebocho) , Applied Mathematics and Computation 219 (2013)
    • On the full Kostant Toda system and the discrete Korteweg-de Vries equations (with D. Barrios Rolanía and A. Foulquié Moreno) , Journal of Mathematical Analysis and Applications 401 (2013)
    • Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle (with M.N. Rebocho) , Journal of Physics A: Mathematical and Theoretical 44 (2011)
    • Multiple orthogonal polynomials for classical weights (with A. Aptekarev and W. Van Assche) , Trans. Amer. Math. Soc. 355 (2003)
    • Asymptotic behavior of Sobolev type orthogonal polynomials on a rectifiable Jordan Curve or Arc (with A. Foulquié Moreno e F. Marcellán) , Constructive Approximation 18 (2002)
  • PhD Students

    • Anabela Monteiro Paiva Laguerre-Hahn orthogonal polynomials on the real line 2011
    • Ana Isabel Gonçalves Mendes Families of orthogonal polynomials sequences co-supervision with Francisco Marcellán (Universidade Carlos III de Madrid), 2010
    • Luís Manuel da Silva Cotrim Systems of multiple orthogonal polynomials for quasi-diagonal indices 2009
    • Maria das Neves Vieiro Rebocho Laguerre-Hahn orthgonal polynomials on the unit circle 2008
  • Adittional information

    • Scientific Coordinator of the FCT postdoctoral Grant, "Sobolev-type and Matrix Orthogonal Polynomials: Connections, Relations and Applications", ref. SFRH/BPD/91841/2012, by Dr. Edmundo José Huertas Cejudo.

    • Scientific Coordinator with Professor Ana Foulquié from University of Aveiro, of the FCT postdoctoral Grant, "Simultaneous Rational Approximation and Applications", ref. SFRH/BPD/62947/2009, by Professor Ulises Fidalgo Prieto, University Carlos III de Madrid.

    • Scientific Coordinator of the FCT postdoctoral Grant, "Applications of Orthogonal Polynomials on the Unit Circle Theory to Constructive Approximation and Riemann-Hilbert Problems", ref. SFRH/BPD/45321/2008, by Professor Maria das Neves Vieiro Rebocho, University of Beira Interior.

    • Coordinator of the Projecto Delfos, a School of Mathematics for Youngsters, DMUC.

Research and Events


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Defended Theses

  • Some aspects of descent theory and applications
      Rui Rodrigues de Abreu Fernandes Prezado (January 2024)
      Maria Manuel Clementino
      Fernando Lucatelli Nunes
  • Comparability between different systems: star-shaped and convex transform orders
      Beatriz Ferreira Santos (December 2023)
      Paulo Eduardo Oliveira
      Idir Arab
  • On Lax Idempotent Monads in Topology
      Carlos Miguel Alves Fitas (December 2023)
      Maria Manuel Clementino
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