Física Teórica
Fachbereich
Dalhousie University
Halifax, CanadáPublikationen in Zusammenarbeit mit Forschern von Dalhousie University (19)
2019
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A Bochner type characterization theorem for exceptional orthogonal polynomials
Journal of Mathematical Analysis and Applications, Vol. 472, Núm. 1, pp. 584-626
2018
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Durfee Rectangles and Pseudo-Wronskian Equivalences for Hermite Polynomials
Studies in Applied Mathematics
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Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials
Journal of Physics A: Mathematical and Theoretical, Vol. 51, Núm. 34
2016
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Recurrence relations for exceptional Hermite polynomials
Journal of Approximation Theory, Vol. 204, pp. 1-16
2014
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Extended Krein-Adler theorem for the translationally shape invariant potentials
Journal of Mathematical Physics, Vol. 55, Núm. 4
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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
Journal of Physics A: Mathematical and Theoretical, Vol. 47, Núm. 1
2013
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A Conjecture on Exceptional Orthogonal Polynomials
Foundations of Computational Mathematics, Vol. 13, Núm. 4, pp. 615-666
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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
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Two-step Darboux transformations and exceptional Laguerre polynomials
Journal of Mathematical Analysis and Applications, Vol. 387, Núm. 1, pp. 410-418
2010
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An extension of Bochner's problem: Exceptional invariant subspaces
Journal of Approximation Theory, Vol. 162, Núm. 5, pp. 987-1006
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Exceptional orthogonal polynomials and the Darboux transformation
Journal of Physics A: Mathematical and Theoretical, Vol. 43, Núm. 43
2009
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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
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Quasi-exact solvability beyond the sl(2) algebraization
Physics of Atomic Nuclei, Vol. 70, Núm. 3, pp. 520-528
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Quasi-exact solvability in a general polynomial setting
Inverse Problems, Vol. 23, Núm. 5, pp. 1915-1942
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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
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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
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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
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Supersymmetry and algebraic Darboux transformations
Journal of Physics A: Mathematical and General
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The Darboux transformation and algebraic deformations of shape-invariant potentials
Journal of Physics A: Mathematical and General, Vol. 37, Núm. 5, pp. 1789-1804