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Author ID: milson.robert Recent zbMATH articles by "Milson, Robert"
Published as: Milson, Robert; Milson, R.
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Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 776 times in 306 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
95
2009
An extension of Bochner’s problem: exceptional invariant subspaces. Zbl 1214.34079
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
61
2010
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. Zbl 1283.81059
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
54
2014
Exceptional orthogonal polynomials and the Darboux transformation. Zbl 1202.81036
Gómez-Ullate, D.; Kamran, N.; Milson, R.
50
2010
Classification of the Weyl tensor in higher dimensions. Zbl 1052.83031
Coley, A.; Milson, R.; Pravda, V.; Pravdová, A.
50
2004
Two-step Darboux transformations and exceptional Laguerre polynomials. Zbl 1232.33013
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
43
2012
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
33
2013
Alignment and algebraically special tensors in Lorentzian geometry. Zbl 1079.53034
Milson, R.; Coley, A.; Pravda, V.; Pradová, A.
31
2005
Vanishing scalar invariant spacetimes in higher dimensions. Zbl 1066.83018
Coley, A.; Milson, R.; Pravda, V.; Pravdová, A.
27
2004
All spacetimes with vanishing curvature invariants. Zbl 1012.83005
Pravda, V.; Pravdová, A.; Coley, A.; Milson, R.
24
2002
Recurrence relations for exceptional Hermite polynomials. Zbl 1336.33025
Gómez-Ullate, D.; Kasman, A.; Kuijlaars, A. B. J.; Milson, R.
24
2016
Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials. Zbl 1300.33013
Gómez-Ullate, David; Marcellán, Francisco; Milson, Robert
23
2013
On orthogonal polynomials spanning a non-standard flag. Zbl 1247.33016
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
20
2012
A Bochner type characterization theorem for exceptional orthogonal polynomials. Zbl 1421.42014
García-Ferrero, M. Ángeles; Gómez-Ullate, David; Milson, Robert
19
2019
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038
Kamran, Niky; Milson, Robert; Olver, Peter J.
17
2000
The Darboux transformation and algebraic deformations of shape-invariant potentials. Zbl 1065.81126
Gómez-Ullate, D.; Kamran, N.; Milson, R.
17
2004
Extended Krein-Adler theorem for the translationally shape invariant potentials. Zbl 1296.81023
Gomez-Ullate, David; Grandati, Yves; Milson, Robert
16
2014
Killing tensors as irreducible representations of the general linear group. Zbl 1086.53071
Mclenaghan, Raymond G.; Milson, Robert; Smirnov, Roman G.
15
2004
Zeros of exceptional Hermite polynomials. Zbl 1331.33024
Kuijlaars, A. B. J.; Milson, R.
14
2015
Supersymmetry and algebraic Darboux transformations. Zbl 1064.81052
Gómez-Ullate, D.; Kamran, N.; Milson, R.
12
2004
Bianchi identities in higher dimensions. Zbl 1062.83014
Pravda, V.; Pravdová, A.; Coley, A.; Milson, R.
12
2004
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
12
2018
Liouville transformation and exactly solvable Schrödinger equations. Zbl 0929.34075
Milson, Robert
11
1998
Quasi-exact solvability and the direct approach to invariant subspaces. Zbl 1088.81094
Gómez-Ullate, D.; Kamran, N.; Milson, R.
9
2005
The curvature homogeneity bound for Lorentzian four-manifolds. Zbl 1165.53048
Milson, R.; Pelavas, N.
9
2009
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
Three-dimensional spacetimes of maximal order. Zbl 1269.83054
Milson, R.; Wylleman, L.
6
2013
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
The spectral analysis of three families of exceptional Laguerre polynomials. Zbl 1333.33018
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica
6
2016
Point equivalence of second-order ODEs: maximal invariant classification order. Zbl 1303.34026
Milson, Robert; Valiquette, Francis
5
2015
The type N Karlhede bound is sharp. Zbl 1132.83004
Milson, R.; Pelavas, N.
5
2008
Structure theorems for linear and nonlinear differential operators admitting invariant polynomial subspaces. Zbl 1128.47043
Gómez-Ullate, Daivd; Kamran, Niky; Milson, Robert
4
2007
Exceptional Legendre polynomials and confluent Darboux Transformations. Zbl 1466.33006
García-Ferrero, María Ángeles; Gómez-Ullate, David; Milson, Robert
4
2021
An overview of Lie’s line-sphere correspondence. Zbl 1007.53004
Milson, R.
3
2001
Vacuum Kundt waves. Zbl 1263.83050
McNutt, David; Milson, Robert; Coley, Alan
3
2013
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
Corrigendum to: Bianchi identities in higher dimensions. Zbl 1110.83329
Pravda, V.; Pravdová, A.; Coley, A.; Milson, R.
3
2007
Imprimitively generated Lie-algebraic Hamiltonians and separation of variables. Zbl 0923.35141
Milson, Robert
2
1998
Representations of finite-dimensional Lie algebras by first-order differential operators. Some local results in the transitive case. Zbl 0863.17018
Milson, Robert
2
1995
The adelic Grassmannian and exceptional Hermite polynomials. Zbl 1456.33010
Kasman, Alex; Milson, Robert
2
2020
Invariant classification of vacuum pp-waves. Zbl 1284.83032
Milson, R.; McNutt, D.; Coley, A.
2
2013
Spectral residues of second-order differential equations: a new method for summation identities and inversion formulas. Zbl 1152.34393
Milson, R.
1
2001
Vacuum plane waves: Cartan invariants and physical interpretation. Zbl 1258.83024
Coley, A.; Mcnutt, D.; Milson, R.
1
2012
On the construction of quasi-exactly solvable Schrödinger operators on homogeneous spaces. Zbl 0933.58034
Milson, Robert
1
1995
Alignment and the classification of Lorentz-signature tensors. Zbl 1136.53308
Milson, R.
1
2005
VSI\(_{i}\) space-times and the \(\epsilon\)-property. Zbl 1110.53053
Pelavas, N.; Coley, A.; Milson, R.; Pravda, V.; Pravdová, A.
1
2005
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 1472.37067
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
4
2021
Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems. Zbl 1472.37067
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
The adelic Grassmannian and exceptional Hermite polynomials. Zbl 1456.33010
Kasman, Alex; Milson, Robert
2
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
19
2019
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
12
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.
24
2016
The spectral analysis of three families of exceptional Laguerre polynomials. Zbl 1333.33018
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica
6
2016
Zeros of exceptional Hermite polynomials. Zbl 1331.33024
Kuijlaars, A. B. J.; Milson, R.
14
2015
Point equivalence of second-order ODEs: maximal invariant classification order. Zbl 1303.34026
Milson, Robert; Valiquette, Francis
5
2015
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. Zbl 1283.81059
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
54
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
23
2013
Three-dimensional spacetimes of maximal order. Zbl 1269.83054
Milson, R.; Wylleman, L.
6
2013
Vacuum Kundt waves. Zbl 1263.83050
McNutt, David; Milson, Robert; Coley, Alan
3
2013
Invariant classification of vacuum pp-waves. Zbl 1284.83032
Milson, R.; McNutt, D.; Coley, A.
2
2013
Two-step Darboux transformations and exceptional Laguerre polynomials. Zbl 1232.33013
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
43
2012
On orthogonal polynomials spanning a non-standard flag. Zbl 1247.33016
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
20
2012
Vacuum plane waves: Cartan invariants and physical interpretation. Zbl 1258.83024
Coley, A.; Mcnutt, D.; Milson, R.
1
2012
An extension of Bochner’s problem: exceptional invariant subspaces. Zbl 1214.34079
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
61
2010
Exceptional orthogonal polynomials and the Darboux transformation. Zbl 1202.81036
Gómez-Ullate, D.; Kamran, N.; Milson, R.
50
2010
An extended class of orthogonal polynomials defined by a Sturm-Liouville problem. Zbl 1183.34033
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
95
2009
The curvature homogeneity bound for Lorentzian four-manifolds. Zbl 1165.53048
Milson, R.; Pelavas, N.
9
2009
The type N Karlhede bound is sharp. Zbl 1132.83004
Milson, R.; Pelavas, N.
5
2008
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
Corrigendum to: Bianchi identities in higher dimensions. Zbl 1110.83329
Pravda, V.; Pravdová, A.; Coley, A.; Milson, R.
3
2007
Alignment and algebraically special tensors in Lorentzian geometry. Zbl 1079.53034
Milson, R.; Coley, A.; Pravda, V.; Pradová, A.
31
2005
Quasi-exact solvability and the direct approach to invariant subspaces. Zbl 1088.81094
Gómez-Ullate, D.; Kamran, N.; Milson, R.
9
2005
Alignment and the classification of Lorentz-signature tensors. Zbl 1136.53308
Milson, R.
1
2005
VSI\(_{i}\) space-times and the \(\epsilon\)-property. Zbl 1110.53053
Pelavas, N.; Coley, A.; Milson, R.; Pravda, V.; Pravdová, A.
1
2005
Classification of the Weyl tensor in higher dimensions. Zbl 1052.83031
Coley, A.; Milson, R.; Pravda, V.; Pravdová, A.
50
2004
Vanishing scalar invariant spacetimes in higher dimensions. Zbl 1066.83018
Coley, A.; Milson, R.; Pravda, V.; Pravdová, A.
27
2004
The Darboux transformation and algebraic deformations of shape-invariant potentials. Zbl 1065.81126
Gómez-Ullate, D.; Kamran, N.; Milson, R.
17
2004
Killing tensors as irreducible representations of the general linear group. Zbl 1086.53071
Mclenaghan, Raymond G.; Milson, Robert; Smirnov, Roman G.
15
2004
Supersymmetry and algebraic Darboux transformations. Zbl 1064.81052
Gómez-Ullate, D.; Kamran, N.; Milson, R.
12
2004
Bianchi identities in higher dimensions. Zbl 1062.83014
Pravda, V.; Pravdová, A.; Coley, A.; Milson, R.
12
2004
All spacetimes with vanishing curvature invariants. Zbl 1012.83005
Pravda, V.; Pravdová, A.; Coley, A.; Milson, R.
24
2002
An overview of Lie’s line-sphere correspondence. Zbl 1007.53004
Milson, R.
3
2001
Spectral residues of second-order differential equations: a new method for summation identities and inversion formulas. Zbl 1152.34393
Milson, R.
1
2001
Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems. Zbl 0969.35038
Kamran, Niky; Milson, Robert; Olver, Peter J.
17
2000
Liouville transformation and exactly solvable Schrödinger equations. Zbl 0929.34075
Milson, Robert
11
1998
Imprimitively generated Lie-algebraic Hamiltonians and separation of variables. Zbl 0923.35141
Milson, Robert
2
1998
Representations of finite-dimensional Lie algebras by first-order differential operators. Some local results in the transitive case. Zbl 0863.17018
Milson, Robert
2
1995
On the construction of quasi-exactly solvable Schrödinger operators on homogeneous spaces. Zbl 0933.58034
Milson, Robert
1
1995
all top 5

Cited by 292 Authors

23 Milson, Robert
21 Coley, Alan Albert
18 Duran, Antonio J.
17 McNutt, David Duncan
15 Gómez-Ullate, David
14 Quesne, Christiane
13 Odake, Satoru
13 Schulze-Halberg, Axel
12 Grandati, Yves
11 Sasaki, Ryu
9 Marquette, Ian
9 Pravda, Vojtěch
7 Hervik, Sigbjørn
7 Pravdová, Alena
6 Pelavas, Nicos
5 Batista, Carlos A. S.
5 Bonneux, Niels
5 Gilkey, Peter B.
5 Ortaggio, Marcello
5 Roy, Pinaki
4 Ho, Choon-Lin
4 Horváth, Ágota P.
4 Horwood, Joshua T.
4 Kamran, Niky
4 Kruglikov, Boris S.
4 Mantica, Carlo Alberto
4 McLenaghan, Raymond G.
4 Qu, Changzheng
4 Roy, Barnana
4 Smirnov, Roman G.
4 Veselov, Alexander Petrovich
3 Aadne, Matthew Terje
3 Brooks, Dario A.
3 Cariñena, José F.
3 García-Ferrero, Maria Ángeles
3 Hoffmann, Scott E.
3 Hussin, Véronique
3 Kang, Jing
3 Liaw, Constanze
3 Liu, Xiaochuan
3 MacCallum, Malcolm A. H.
3 Mandal, Bhabani Prasad
3 Nikčević, Stana Ž.
3 Olver, Peter John
3 Stevens, Marco
3 Suh, Young Jin
3 Valiquette, Francis
3 Zhang, Yaozhong
2 Bagchi, Bijan Kumar
2 Barnich, Glenn
2 Bihun, Oksana
2 Cai, Ronggen
2 Clarkson, Peter A.
2 Cochran, Caroline M.
2 De Vecchi, Francesco Carlo
2 Domínguez de la Iglesia, Manuel
2 Dunn, Corey M.
2 Edgar, S. Brian
2 Fernández C., David J.
2 Forget, Adam
2 Frolov, Valeri P.
2 Grosu, Codruţ
2 Grosu, Corina
2 Hallnäs, Martin A.
2 Heil, Konstantin
2 Kasman, Alex
2 Kelly Stewart, Jessica
2 Khare, Avinash
2 Kuchynka, M.
2 Kuijlaars, Arno B. J.
2 Kumari, Nisha
2 Littlejohn, Lance L.
2 Maehara, Hiroshi
2 Martín-Moruno, Prado
2 Morando, Paola
2 Moreno-Balcázar, Juan José
2 Musoke, N. K.
2 Pérez, Mario
2 Podolský, Jiří
2 Reall, Harvey S.
2 Saad, Nasser
2 Schneider, Eivind
2 Schöbel, Konrad P.
2 Taghavi-Chabert, Arman
2 Tanaka, Toshiaki
2 Tomoda, Kentaro
2 Tsujimoto, Satoshi
2 van den Hoogen, R. J.
2 Visser, Matt
2 Wylleman, Lode
2 Xu, Xiaoping
2 Yadav, Rajesh Kumar
2 Yang, Qing
2 Yeşiltaş, Özlem
2 Zhang, Yunlong
1 Abedzadeh, A.
1 Agoh, Takashi
1 Alawadhi, Rashid
1 Albouy, Alain
1 Alici, Haydar
...and 192 more Authors
all top 5

Cited in 73 Serials

70 Journal of Mathematical Physics
20 Classical and Quantum Gravity
19 Journal of Approximation Theory
17 General Relativity and Gravitation
15 Journal of High Energy Physics
15 International Journal of Geometric Methods in Modern Physics
11 Journal of Mathematical Analysis and Applications
8 Journal of Geometry and Physics
7 International Journal of Modern Physics A
6 Communications in Mathematical Physics
6 Annals of Physics
6 Integral Transforms and Special Functions
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Journal of Physics A: Mathematical and Theoretical
4 Journal of Nonlinear Mathematical Physics
3 Modern Physics Letters A
3 Theoretical and Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Annals of Global Analysis and Geometry
3 Living Reviews in Relativity
2 International Journal of Theoretical Physics
2 Letters in Mathematical Physics
2 Physics Letters. A
2 Reviews in Mathematical Physics
2 Applied Mathematics and Computation
2 Proceedings of the American Mathematical Society
2 Advances in Applied Mathematics
2 Journal of Symbolic Computation
2 Mathematical Physics, Analysis and Geometry
2 Regular and Chaotic Dynamics
2 Communications in Nonlinear Science and Numerical Simulation
2 Annales Henri Poincaré
2 Advances in Mathematical Physics
1 International Journal of Modern Physics B
1 American Mathematical Monthly
1 Communications in Algebra
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Czechoslovak Mathematical Journal
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Constructive Approximation
1 Differential Geometry and its Applications
1 Journal of Statistical Computation and Simulation
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Experimental Mathematics
1 International Journal of Modern Physics D
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 Journal of Mathematical Chemistry
1 Novi Sad Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Integers
1 International Journal of Modern Physics C
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 Journal of Computational Acoustics
1 Advances in High Energy Physics
1 Iranian Journal of Mathematical Sciences and Informatics
1 Annalen der Physik
1 ISRN Mathematical Physics
all top 5

Cited in 42 Fields

108 Special functions (33-XX)
92 Quantum theory (81-XX)
84 Relativity and gravitational theory (83-XX)
78 Differential geometry (53-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
47 Ordinary differential equations (34-XX)
37 Partial differential equations (35-XX)
20 Dynamical systems and ergodic theory (37-XX)
16 Mechanics of particles and systems (70-XX)
15 Numerical analysis (65-XX)
11 Global analysis, analysis on manifolds (58-XX)
9 Real functions (26-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Nonassociative rings and algebras (17-XX)
6 Functions of a complex variable (30-XX)
6 Difference and functional equations (39-XX)
6 Operator theory (47-XX)
5 Number theory (11-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Approximations and expansions (41-XX)
4 Combinatorics (05-XX)
4 Algebraic geometry (14-XX)
4 Fluid mechanics (76-XX)
3 Commutative algebra (13-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year