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Gómez-Ullate, David

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Author ID: gomez-ullate.david Recent zbMATH articles by "Gómez-Ullate, David"
Published as: Gómez-Ullate, D.; Gómez-Ullate, David; Gomez-Ullate, David; Gómez-Ullate, Daivd; Gomez-Ullate, D.
External Links: MGP
Documents Indexed: 45 Publications since 1999, including 1 Book

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 581 times in 207 Documents Cited by Year
An extended class of orthogonal polynomials defined by a Sturm-Liouville problem. Zbl 1183.34033
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
88
2009
An extension of Bochner’s problem: exceptional invariant subspaces. Zbl 1214.34079
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
59
2010
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. Zbl 1283.81059
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
52
2014
Exceptional orthogonal polynomials and the Darboux transformation. Zbl 1202.81036
Gómez-Ullate, D.; Kamran, N.; Milson, R.
48
2010
Two-step Darboux transformations and exceptional Laguerre polynomials. Zbl 1232.33013
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
41
2012
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
33
2013
Recurrence relations for exceptional Hermite polynomials. Zbl 1336.33025
Gómez-Ullate, D.; Kasman, A.; Kuijlaars, A. B. J.; Milson, R.
23
2016
Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials. Zbl 1300.33013
Gómez-Ullate, David; Marcellán, Francisco; Milson, Robert
21
2013
On orthogonal polynomials spanning a non-standard flag. Zbl 1247.33016
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
20
2012
The Darboux transformation and algebraic deformations of shape-invariant potentials. Zbl 1065.81126
Gómez-Ullate, D.; Kamran, N.; Milson, R.
16
2004
Extended Krein-Adler theorem for the translationally shape invariant potentials. Zbl 1296.81023
Gomez-Ullate, David; Grandati, Yves; Milson, Robert
16
2014
A Bochner type characterization theorem for exceptional orthogonal polynomials. Zbl 1421.42014
García-Ferrero, M. Ángeles; Gómez-Ullate, David; Milson, Robert
15
2019
Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger’s equation. Zbl 1328.34030
García-Ferrero, Maria Ángeles; Gómez-Ullate, David
14
2015
Supersymmetry and algebraic Darboux transformations. Zbl 1064.81052
Gómez-Ullate, D.; Kamran, N.; Milson, R.
12
2004
Asymptotically isochronous systems. Zbl 1161.70010
Calogero, Francesco; Gomez-Ullate, David
12
2008
The transition from regular to irregular motions, explained as travel on Riemann surfaces. Zbl 1157.70309
Calogero, F.; Gómez-Ullate, D.; Santini, P. M.; Sommacal, M.
11
2005
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
11
2018
Quasi-exact solvability and the direct approach to invariant subspaces. Zbl 1088.81094
Gómez-Ullate, D.; Kamran, N.; Milson, R.
9
2005
Exact solutions of a new elliptic Calogero-Sutherland model. Zbl 1062.81518
Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.
9
2001
Dynamical systems on infinitely sheeted Riemann surfaces. Zbl 1130.37384
Fedorov, Yuri N.; Gómez-Ullate, David
8
2007
Quasi-exact solvability in a general polynomial setting. Zbl 1129.34056
Gómez-Ullate, D.; Kamran, N.; Milson, R.
8
2007
Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials. Zbl 1400.33017
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
7
2018
Symmetries of discrete dynamical systems involving two species. Zbl 0977.37035
Gómez-Ullate, D.; Lafortune, S.; Winternitz, P.
7
1999
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Zbl 1441.81084
Clarkson, Peter A.; Gómez-Ullate, David; Grandati, Yves; Milson, Robert
6
2020
\(A_N\)-type Dunkl operators and new spin Calogero-Sutherland models. Zbl 1025.81017
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
4
2001
New spin Calogero-Sutherland models related to \(B_N\)-type Dunkl operators. Zbl 0972.81053
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
4
2001
Structure theorems for linear and nonlinear differential operators admitting invariant polynomial subspaces. Zbl 1128.47043
Gómez-Ullate, Daivd; Kamran, Niky; Milson, Robert
4
2007
Understanding complex dynamics by means of an associated Riemann surface. Zbl 1280.37052
Gómez-Ullate, D.; Santini, P. M.; Sommacal, M.; Calogero, F.
3
2012
Two novel classes of solvable many-body problems of goldfish type with constraints. Zbl 1126.70006
Calogero, F.; Gómez-Ullate, D.
3
2007
A new class of solvable many-body problems with constraints, associated with an exceptional polynomial subspace of codimension 2. Zbl 1147.82004
Calogero, F.; Gómez-Ullate, D.
3
2007
Towards a theory of chaos explained as travel on Riemann surfaces. Zbl 1153.37349
Calogero, F.; Gómez-Ullate, D.; Santini, P. M.; Sommacal, M.
3
2009
Corrigendum on the proof of completeness for exceptional Hermite polynomials: “Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials”. Zbl 1441.81087
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
3
2020
Exceptional Legendre polynomials and confluent Darboux Transformations. Zbl 1466.33006
García-Ferrero, María Ángeles; Gómez-Ullate, David; Milson, Robert
2
2021
Quasi-exactly solvable generalizations of Calogero-Sutherland models. Zbl 0993.81067
Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.
1
2001
On the Sutherland spin model of \(B_N\) type and its associated spin chain. Zbl 1013.82007
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
1
2003
A survey of quasi-exactly solvable systems and spin Calogero-Sutherland models. Zbl 1330.81189
Finkel, F.; Gómez-Ullate, D.; Gonzáles-López, A.; Rodríiguez, M. A.; Zhdanov, R.
1
2004
New algebraic quantum many-body problems. Zbl 0962.81079
Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.
1
2000
Exceptional orthogonal polynomials and rational solutions to Painlevé equations. Zbl 1443.33014
Gómez-Ullate, David; Milson, Robert
1
2020
Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems. Zbl 07358507
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
1
2021
Exceptional Legendre polynomials and confluent Darboux Transformations. Zbl 1466.33006
García-Ferrero, María Ángeles; Gómez-Ullate, David; Milson, Robert
2
2021
Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems. Zbl 07358507
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
1
2021
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Zbl 1441.81084
Clarkson, Peter A.; Gómez-Ullate, David; Grandati, Yves; Milson, Robert
6
2020
Corrigendum on the proof of completeness for exceptional Hermite polynomials: “Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials”. Zbl 1441.81087
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
3
2020
Exceptional orthogonal polynomials and rational solutions to Painlevé equations. Zbl 1443.33014
Gómez-Ullate, David; Milson, Robert
1
2020
A Bochner type characterization theorem for exceptional orthogonal polynomials. Zbl 1421.42014
García-Ferrero, M. Ángeles; Gómez-Ullate, David; Milson, Robert
15
2019
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
11
2018
Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials. Zbl 1400.33017
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
7
2018
Recurrence relations for exceptional Hermite polynomials. Zbl 1336.33025
Gómez-Ullate, D.; Kasman, A.; Kuijlaars, A. B. J.; Milson, R.
23
2016
Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger’s equation. Zbl 1328.34030
García-Ferrero, Maria Ángeles; Gómez-Ullate, David
14
2015
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. Zbl 1283.81059
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
52
2014
Extended Krein-Adler theorem for the translationally shape invariant potentials. Zbl 1296.81023
Gomez-Ullate, David; Grandati, Yves; Milson, Robert
16
2014
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
33
2013
Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials. Zbl 1300.33013
Gómez-Ullate, David; Marcellán, Francisco; Milson, Robert
21
2013
Two-step Darboux transformations and exceptional Laguerre polynomials. Zbl 1232.33013
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
41
2012
On orthogonal polynomials spanning a non-standard flag. Zbl 1247.33016
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
20
2012
Understanding complex dynamics by means of an associated Riemann surface. Zbl 1280.37052
Gómez-Ullate, D.; Santini, P. M.; Sommacal, M.; Calogero, F.
3
2012
An extension of Bochner’s problem: exceptional invariant subspaces. Zbl 1214.34079
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
59
2010
Exceptional orthogonal polynomials and the Darboux transformation. Zbl 1202.81036
Gómez-Ullate, D.; Kamran, N.; Milson, R.
48
2010
An extended class of orthogonal polynomials defined by a Sturm-Liouville problem. Zbl 1183.34033
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
88
2009
Towards a theory of chaos explained as travel on Riemann surfaces. Zbl 1153.37349
Calogero, F.; Gómez-Ullate, D.; Santini, P. M.; Sommacal, M.
3
2009
Asymptotically isochronous systems. Zbl 1161.70010
Calogero, Francesco; Gomez-Ullate, David
12
2008
Dynamical systems on infinitely sheeted Riemann surfaces. Zbl 1130.37384
Fedorov, Yuri N.; Gómez-Ullate, David
8
2007
Quasi-exact solvability in a general polynomial setting. Zbl 1129.34056
Gómez-Ullate, D.; Kamran, N.; Milson, R.
8
2007
Structure theorems for linear and nonlinear differential operators admitting invariant polynomial subspaces. Zbl 1128.47043
Gómez-Ullate, Daivd; Kamran, Niky; Milson, Robert
4
2007
Two novel classes of solvable many-body problems of goldfish type with constraints. Zbl 1126.70006
Calogero, F.; Gómez-Ullate, D.
3
2007
A new class of solvable many-body problems with constraints, associated with an exceptional polynomial subspace of codimension 2. Zbl 1147.82004
Calogero, F.; Gómez-Ullate, D.
3
2007
The transition from regular to irregular motions, explained as travel on Riemann surfaces. Zbl 1157.70309
Calogero, F.; Gómez-Ullate, D.; Santini, P. M.; Sommacal, M.
11
2005
Quasi-exact solvability and the direct approach to invariant subspaces. Zbl 1088.81094
Gómez-Ullate, D.; Kamran, N.; Milson, R.
9
2005
The Darboux transformation and algebraic deformations of shape-invariant potentials. Zbl 1065.81126
Gómez-Ullate, D.; Kamran, N.; Milson, R.
16
2004
Supersymmetry and algebraic Darboux transformations. Zbl 1064.81052
Gómez-Ullate, D.; Kamran, N.; Milson, R.
12
2004
A survey of quasi-exactly solvable systems and spin Calogero-Sutherland models. Zbl 1330.81189
Finkel, F.; Gómez-Ullate, D.; Gonzáles-López, A.; Rodríiguez, M. A.; Zhdanov, R.
1
2004
On the Sutherland spin model of \(B_N\) type and its associated spin chain. Zbl 1013.82007
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
1
2003
Exact solutions of a new elliptic Calogero-Sutherland model. Zbl 1062.81518
Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.
9
2001
\(A_N\)-type Dunkl operators and new spin Calogero-Sutherland models. Zbl 1025.81017
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
4
2001
New spin Calogero-Sutherland models related to \(B_N\)-type Dunkl operators. Zbl 0972.81053
Finkel, F.; Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.; Zhdanov, R.
4
2001
Quasi-exactly solvable generalizations of Calogero-Sutherland models. Zbl 0993.81067
Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.
1
2001
New algebraic quantum many-body problems. Zbl 0962.81079
Gómez-Ullate, D.; González-López, A.; Rodríguez, M. A.
1
2000
Symmetries of discrete dynamical systems involving two species. Zbl 0977.37035
Gómez-Ullate, D.; Lafortune, S.; Winternitz, P.
7
1999
all top 5

Cited by 183 Authors

18 Calogero, Francesco A.
17 Gómez-Ullate, David
16 Duran, Antonio J.
16 Milson, Robert
14 Quesne, Christiane
13 Odake, Satoru
12 Schulze-Halberg, Axel
11 Grandati, Yves
11 Sasaki, Ryu
9 Marquette, Ian
6 Bihun, Oksana
5 Bonneux, Niels
5 Roy, Pinaki
5 Winternitz, Pavel
4 Kamran, Niky
4 Langmann, Edwin
4 Roy, Barnana
3 García-Ferrero, Maria Ángeles
3 Hallnäs, Martin A.
3 Ho, Choon-Lin
3 Hoffmann, Scott E.
3 Horváth, Ágota P.
3 Hussin, Véronique
3 Leyvraz, Francois
3 Liaw, Constanze
3 Mandal, Bhabani Prasad
3 Stevens, Marco
3 Takemura, Kouichi
3 Turbiner, Alexander
3 Veselov, Alexander Petrovich
3 Zhang, Yaozhong
2 Bagchi, Bijan Kumar
2 Basu-Mallick, Bireswar
2 Bruschi, Mario
2 Crampé, Nicolas
2 Dorodnitsyn, Vladimir A.
2 Enolskiĭ, Viktor Zelikovich
2 Fernández C., David J.
2 Finkel, Federico
2 González-López, Artemio
2 Grosu, Codruţ
2 Grosu, Corina
2 Gurkan, Zeynep Nilhan
2 Hartmann, Betti
2 Kagramanova, Valeria
2 Kasman, Alex
2 Kelly Stewart, Jessica
2 Khare, Avinash
2 Kozlov, Roman
2 Kuijlaars, Arno B. J.
2 Kumari, Nisha
2 Kunz, Jutta
2 Lämmerzahl, Claus
2 Littlejohn, Lance L.
2 Miller, Willard jun.
2 Moreno-Balcázar, Juan José
2 Pashaev, Oktay K.
2 Pérez, Mario
2 Saad, Nasser
2 Santini, Paolo Maria
2 Shen, Shoufeng
2 Tanaka, Toshiaki
2 Tsujimoto, Satoshi
2 Yadav, Rajesh Kumar
2 Yeşiltaş, Özlem
1 Abedzadeh, A.
1 Alici, Haydar
1 Area, Iván
1 Arsenault, Ashley
1 Atia, Mohamed Jalel
1 Baradaran, Marzieh
1 Bassom, Andrew P.
1 Bender, Carl M.
1 Bérard, Alain
1 Bermúdez, David
1 Boreskov, Konstantin G.
1 Bracciali, Cleonice F.
1 Brihaye, Yves
1 Cariñena, José F.
1 Celeghini, Enrico
1 Chalifour, Vincent
1 Chang, Jen-Hsu
1 Chneguir, S.
1 Choque Rivero, Abdon Eddy
1 Chou, Chung-I
1 Clarkson, Peter A.
1 Conti, Riccardo
1 Contreras-Astorga, Alonso
1 Cunden, Fabio Deelan
1 Curbera, Guillermo P.
1 del Olmo, Mariano A.
1 Demina, Maria V.
1 Dimitrov, Dimitar K.
1 Domínguez de la Iglesia, Manuel
1 Đurić, Nebojša
1 Escobar-Ruiz, Mauricio A.
1 Eslahchi, Mohammad Reza
1 Fedorov, Yuri N.
1 Fehér, László Gy.
1 Feigin, Misha V.
...and 83 more Authors
all top 5

Cited in 56 Serials

68 Journal of Mathematical Physics
18 Journal of Approximation Theory
10 Journal of Mathematical Analysis and Applications
8 Journal of Nonlinear Mathematical Physics
6 Letters in Mathematical Physics
5 International Journal of Modern Physics A
5 Theoretical and Mathematical Physics
5 Annals of Physics
5 Integral Transforms and Special Functions
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal of Physics A: Mathematical and Theoretical
3 Communications in Mathematical Physics
3 Physica D
2 Modern Physics Letters A
2 Physics Letters. A
2 Applied Mathematics and Computation
2 Studies in Applied Mathematics
2 Constructive Approximation
2 Mathematical Physics, Analysis and Geometry
2 Journal of High Energy Physics
2 Annales Henri Poincaré
2 International Journal of Geometric Methods in Modern Physics
2 Advances in High Energy Physics
1 International Journal of Modern Physics B
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Physics Reports
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Proceedings of the American Mathematical Society
1 Advances in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 SIAM Journal on Mathematical Analysis
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Journal of Difference Equations and Applications
1 Novi Sad Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Regular and Chaotic Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 Biostatistics
1 Qualitative Theory of Dynamical Systems
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 Advances in Mathematical Physics
1 Iranian Journal of Mathematical Sciences and Informatics
1 Annalen der Physik
1 ISRN Mathematical Physics
all top 5

Cited in 37 Fields

104 Special functions (33-XX)
93 Quantum theory (81-XX)
48 Ordinary differential equations (34-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
34 Dynamical systems and ergodic theory (37-XX)
27 Partial differential equations (35-XX)
24 Mechanics of particles and systems (70-XX)
11 Real functions (26-XX)
11 Numerical analysis (65-XX)
9 Difference and functional equations (39-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Functions of a complex variable (30-XX)
6 Nonassociative rings and algebras (17-XX)
5 Operator theory (47-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Field theory and polynomials (12-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Approximations and expansions (41-XX)
4 Differential geometry (53-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year