Publicaciones en colaboración con investigadores/as de Dalhousie University (19)

2019

  1. A Bochner type characterization theorem for exceptional orthogonal polynomials

    Journal of Mathematical Analysis and Applications, Vol. 472, Núm. 1, pp. 584-626

2016

  1. Recurrence relations for exceptional Hermite polynomials

    Journal of Approximation Theory, Vol. 204, pp. 1-16

2014

  1. Extended Krein-Adler theorem for the translationally shape invariant potentials

    Journal of Mathematical Physics, Vol. 55, Núm. 4

  2. Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials

    Journal of Physics A: Mathematical and Theoretical, Vol. 47, Núm. 1

2013

  1. A Conjecture on Exceptional Orthogonal Polynomials

    Foundations of Computational Mathematics, Vol. 13, Núm. 4, pp. 615-666

  2. Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials

    Journal of Mathematical Analysis and Applications, Vol. 399, Núm. 2, pp. 480-495

2012

  1. Two-step Darboux transformations and exceptional Laguerre polynomials

    Journal of Mathematical Analysis and Applications, Vol. 387, Núm. 1, pp. 410-418

2010

  1. An extension of Bochner's problem: Exceptional invariant subspaces

    Journal of Approximation Theory, Vol. 162, Núm. 5, pp. 987-1006

  2. Exceptional orthogonal polynomials and the Darboux transformation

    Journal of Physics A: Mathematical and Theoretical, Vol. 43, Núm. 43

2009

  1. An extended class of orthogonal polynomials defined by a Sturm-Liouville problem

    Journal of Mathematical Analysis and Applications, Vol. 359, Núm. 1, pp. 352-367

2007

  1. Quasi-exact solvability beyond the sl(2) algebraization

    Physics of Atomic Nuclei, Vol. 70, Núm. 3, pp. 520-528

  2. Quasi-exact solvability in a general polynomial setting

    Inverse Problems, Vol. 23, Núm. 5, pp. 1915-1942

  3. Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces

    Discrete and Continuous Dynamical Systems, Vol. 18, Núm. 1, pp. 85-106

2005

  1. Quasi-exact solvability and the direct approach to invariant subspaces

    Journal of Physics A: Mathematical and General, Vol. 38, Núm. 9, pp. 2005-2019

2004

  1. Reply to comment on 'the Darboux transformation and algebraic deformations of shape-invariant potentials'

    Journal of Physics A: Mathematical and General, Vol. 37, Núm. 34, pp. 8405-8406

  2. Supersymmetry and algebraic Darboux transformations

    Journal of Physics A: Mathematical and General

  3. The Darboux transformation and algebraic deformations of shape-invariant potentials

    Journal of Physics A: Mathematical and General, Vol. 37, Núm. 5, pp. 1789-1804