David Gomez-Ullate Oteiza

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Robert MilsonProfessor of Mathematics, Dalhousie University, Nova Scotia, CanadaVerified email at dal.ca
Miguel A. RodriguezPhysics professorVerified email at fis.ucm.es
Matteo SommacalSenior Lecturer in Applied Mathematics, Northumbria UniversityVerified email at northumbria.ac.uk
Renat ZhdanovPrincipal Research Scientist at CyberOpticsVerified email at cyberoptics.com
Francesco CalogeroEmeritus Professor, University of Rome "La Sapienza"Verified email at roma1.infn.it
Carlos Mejia-MonasterioProfessor at the Technical University of MadridVerified email at upm.es
Maria Angeles Garcia-FerreroUniversitat de BarcelonaVerified email at ub.edu
Victor GallegoKomorebi AI & ICMAT-CSIC (also as Víctor Gallego-Alcalá)Verified email at icmat.es
Paolo Maria SantiniProfessor of Theoretical Physics, University of Rome "La Sapienza", Rome, ItalyVerified email at uniroma1.it
Daniel Precioso GarcelánPhD in Machine LearningVerified email at uca.es
Arno KuijlaarsDepartment of Mathematics, Katholieke Universiteit LeuvenVerified email at kuleuven.be
Sara LombardoProfessor of Mathematics, Mathematics, MACS, Heriot-Watt UniversityVerified email at hw.ac.uk
Stephane LafortuneProfessor of Mathematics, College of CharlestonVerified email at cofc.edu
David R InsuaICMAT-CSICVerified email at icmat.es
Francisco MarcellánProfesor de Matematicas. Universidad Carlos III de MadridVerified email at ing.uc3m.es
Yuri N FedorovUniversitat Politecnica de Catalunya, BarcelonaVerified email at upc.edu
Peter A ClarksonEmeritus Professor of Mathematics, University of KentVerified email at kent.ac.uk
Manuel MañasProfessor of Theoretical Physics, Universidad Complutense and Instituto de Ciencias MatemáticasVerified email at ucm.es
Marta MazzoccoProfessor of Mathematics, University of BirminghamVerified email at bham.ac.uk
Frank NijhoffProfessor of Mathematical Physics, University of LeedsVerified email at leeds.ac.uk

David Gomez-Ullate Oteiza

School of Science & Technology - IE University

Verified email at faculty.ie.edu

Data science mathematical physics orthogonal polynomials


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An extended class of orthogonal polynomials defined by a Sturm–Liouville problem D Gómez-Ullate, N Kamran, R Milson Journal of Mathematical Analysis and Applications 359 (1), 352-367, 2009	321	2009
An extension of Bochner’s problem: exceptional invariant subspaces D Gómez-Ullate, N Kamran, R Milson Journal of Approximation Theory 162 (5), 987-1006, 2010	230	2010
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials D Gómez-Ullate, Y Grandati, R Milson Journal of Physics A: Mathematical and Theoretical 47 (1), 015203, 2013	167	2013
Exceptional orthogonal polynomials and the Darboux transformation D Gomez-Ullate, N Kamran, R Milson Journal of Physics A: Mathematical and Theoretical 43 (43), 434016, 2010	154	2010
Two-step Darboux transformations and exceptional Laguerre polynomials D Gomez-Ullate, N Kamran, R Milson Journal of Mathematical Analysis and Applications 387 (1), 410-418, 2012	114	2012
On orthogonal polynomials spanning a non-standard flag D Gomez-Ullate, N Kamran, R Milson Contemp. Math 563, 51-71, 2012	107	2012
The Darboux transformation and algebraic deformations of shape-invariant potentials D Gomez-Ullate, N Kamran, R Milson Journal of Physics A: Mathematical and General 37 (5), 1789, 2004	86	2004
Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials D Gómez-Ullate, F Marcellán, R Milson Journal of Mathematical Analysis and Applications 399 (2), 480-495, 2013	79	2013
A Bochner type characterization theorem for exceptional orthogonal polynomials MÁ García-Ferrero, D Gómez-Ullate, R Milson Journal of Mathematical Analysis and Applications 472 (1), 584-626, 2019	77	2019
Supersymmetry and algebraic Darboux transformations D Gómez-Ullate, N Kamran, R Milson Journal of Physics A: Mathematical and General 37 (43), 10065, 2004	69	2004
A conjecture on exceptional orthogonal polynomials D Gómez-Ullate, N Kamran, R Milson Foundations of Computational Mathematics 13, 615-666, 2013	68	2013
Extended Krein-Adler theorem for the translationally shape invariant potentials D Gomez-Ullate, Y Grandati, R Milson Journal of Mathematical Physics 55 (4), 043510, 2014	55	2014
Periods of the goldfish many-body problem D Gomez-Ullate, M Sommacal Journal of Nonlinear Mathematical Physics 12 (sup1), 351-362, 2005	54	2005
Recurrence relations for exceptional Hermite polynomials D Gómez-Ullate, A Kasman, ABJ Kuijlaars, R Milson Journal of Approximation Theory 204, 1-16, 2016	53	2016
Multifractality and long memory of a financial index P Suárez-García, D Gómez-Ullate Physica A: Statistical Mechanics and its Applications 394, 226-234, 2014	50	2014
AN-type Dunkl operators and new spin Calogero–Sutherland models F Finkel, D Gómez-Ullate, A González-López, MA Rodriguez, R Zhdanov Communications in Mathematical Physics 221, 477-497, 2001	50	2001
The transition from regular to irregular motions, explained as travel on Riemann surfaces F Calogero, D Gomez-Ullate, PM Santini, M Sommacal Journal of Physics A: Mathematical and General 38 (41), 8873, 2005	48	2005
Quasi-exact solvability and the direct approach to invariant subspaces D Gómez-Ullate, N Kamran, R Milson Journal of Physics A: Mathematical and General 38 (9), 2005	47	2005
New spin Calogero–Sutherland models related to BN-type Dunkl operators F Finkel, D Gómez-Ullate, A González-López, MA Rodrıguez, R Zhdanov Nuclear Physics B 613 (3), 472-496, 2001	43	2001
Symmetries of discrete dynamical systems involving two species D Gomez-Ullate, S Lafortune, P Winternitz Journal of Mathematical Physics 40, 2782, 1999	39	1999

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