Faculty

• Amílcar Branquinho

  ajplb@mat.uc.pt

• 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