David Gomez-Ullate Oteiza

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Robert MilsonProfessor of Mathematics, Dalhousie University, Nova Scotia, CanadaVerified email at dal.ca
Daniel Precioso GarcelánPhD in Machine LearningVerified email at ie.edu
Matteo SommacalSenior Lecturer in Applied Mathematics, Northumbria UniversityVerified email at northumbria.ac.uk
Miguel A. RodriguezPhysics professorVerified email at fis.ucm.es
Renat ZhdanovPrincipal Research Scientist at CyberOpticsVerified email at cyberoptics.com
Francesco CalogeroEmeritus Professor, University of Rome "La Sapienza"Verified email at roma1.infn.it
Maria Angeles Garcia-FerreroInstituto de Ciencias Matemáticas (ICMAT)Verified email at icmat.es
Carlos Mejia-MonasterioGrupo Interdisciplinar de Sistemas Complejos (GISC). Technical University of MadridVerified email at upm.es
Sara LombardoProfessor of Mathematics, Mathematics, MACS, Heriot-Watt UniversityVerified email at hw.ac.uk
Matthias F. WagnerProfessor of Computer Science, Frankfurt University of Applied SciencesVerified email at fb2.fra-uas.de
Jörg SchäferFrankfurt University of Applied SciencesVerified email at fb2.fra-uas.de
Paolo Maria SantiniProfessor of Theoretical Physics, University of Rome "La Sapienza", Rome, ItalyVerified email at uniroma1.it
Manuel MañasProfessor of Theoretical Physics, Universidad Complutense and Instituto de Ciencias MatemáticasVerified email at ucm.es
Fatima Sajid ButtFrankfurt University of Applied SciencesVerified email at alum.uca.es
Arno KuijlaarsDepartment of Mathematics, Katholieke Universiteit LeuvenVerified email at kuleuven.be
Stephane LafortuneProfessor of Mathematics, College of CharlestonVerified email at cofc.edu
Francisco MarcellánProfesor de Matematicas. Universidad Carlos III de MadridVerified email at ing.uc3m.es
David R InsuaICMAT-CSICVerified email at icmat.es
Frank NijhoffProfessor of Mathematical Physics, University of LeedsVerified email at leeds.ac.uk
Yuri N FedorovUniversitat Politecnica de Catalunya, BarcelonaVerified email at upc.edu

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	364	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	255	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	184	2013
Exceptional orthogonal polynomials and the Darboux transformation D Gómez-Ullate, N Kamran, R Milson Journal of Physics A: Mathematical and Theoretical 43 (43), 434016, 2010	171	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	130	2012
On orthogonal polynomials spanning a non-standard flag D Gómez-Ullate, N Kamran, R Milson Contemp. Math 563, 51-71, 2012	118	2012
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	94	2019
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	91	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	90	2013
A conjecture on exceptional orthogonal polynomials D Gómez-Ullate, N Kamran, R Milson Foundations of Computational Mathematics 13, 615-666, 2013	72	2013
Supersymmetry and algebraic Darboux transformations D Gómez-Ullate, N Kamran, R Milson Journal of Physics A: Mathematical and General 37 (43), 10065, 2004	72	2004
Extended Krein-Adler theorem for the translationally shape invariant potentials D Gomez-Ullate, Y Grandati, R Milson Journal of Mathematical Physics 55 (4), 2014	62	2014
Recurrence relations for exceptional Hermite polynomials D Gómez-Ullate, A Kasman, ABJ Kuijlaars, R Milson Journal of Approximation Theory 204, 1-16, 2016	59	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	57	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
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	50	2005
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	49	2001
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	48	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
Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger’s equation MÁ García-Ferrero, D Gómez-Ullate Letters in Mathematical Physics 105, 551-573, 2015	42	2015

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