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## Grandati, Yves

Compute Distance To:
 Author ID: grandati.yves Published as: Grandati, Yves; Grandati, Y.
 Documents Indexed: 30 Publications since 1995
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#### Co-Authors

 5 single-authored 14 Bérard, Alain 8 Gómez-Ullate, David 8 Milson, Robert 5 Mohrbach, Hervé 3 Quesne, Christiane 1 Bagchi, Bijan Kumar 1 Chetouani, Lyazid 1 Clarkson, Peter A. 1 Kasri, Y. 1 Mcintyre, Zoé
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#### Serials

 6 Journal of Mathematical Physics 5 International Journal of Theoretical Physics 4 Annals of Physics 2 Physics Letters. A 2 Studies in Applied Mathematics 2 Celestial Mechanics and Dynamical Astronomy 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Engineering Mathematics 1 Advances in Mathematics 1 Journal of Approximation Theory 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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#### Fields

 22 Quantum theory (81-XX) 12 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 220 times in 105 Documents Cited by Year
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. Zbl 1283.81059
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2014
Solvable rational extensions of the isotonic oscillator. Zbl 1220.81089
Grandati, Yves
2011
Multistep DBT and regular rational extensions of the isotonic oscillator. Zbl 1255.81169
Grandati, Yves
2012
Solvable rational extensions of the Morse and Kepler-Coulomb potentials. Zbl 1272.81059
Grandati, Yves
2011
Extended Krein-Adler theorem for the translationally shape invariant potentials. Zbl 1296.81023
Gomez-Ullate, David; Grandati, Yves; Milson, Robert
2014
Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. Zbl 1284.81128
Grandati, Y.; Quesne, C.
2013
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2018
Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials. Zbl 1400.33017
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2018
Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials. Zbl 1193.81036
Grandati, Y.; Bérard, A.
2010
Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials. Zbl 1326.81063
Grandati, Yves; Quesne, Christiane
2015
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. Zbl 1441.81084
Clarkson, Peter A.; Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2020
Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials. Zbl 1317.81135
Bagchi, B.; Grandati, Y.; Quesne, C.
2015
Comments on the generalized SUSY QM partnership for Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials. Zbl 1360.81179
Grandati, Y.; Bérard, A.
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
2020
A short proof of the Gaillard-Matveev theorem based on shape invariance arguments. Zbl 1342.37068
Grandati, Y.
2014
Magnetic monopole in the Feynman’s derivation of Maxwell equations. Zbl 0969.81064
Bérard, A.; Grandati, Y.; Mohrbach, H.
1999
Duality properties of Gorringe-Leach equations. Zbl 1223.70015
Grandati, Yves; Bérard, Alain; Mohrbach, Hervé
2009
Exceptional orthogonal polynomials and generalized Schur polynomials. Zbl 1337.33007
Grandati, Yves
2014
Solvable rational extension of translationally shape invariant potentials. Zbl 1248.81038
Grandati, Yves; Bérard, Alain
2012
Simplified large-$$N$$ limit in stochastic quantization. Zbl 0832.60101
Bérard, A.; Grandati, Y.; Grangé, P.; Mohrbach, H.
1995
Complex representation of planar motions and conserved quantities of the Kepler and Hooke problems. Zbl 1377.70039
Grandati, Y.; Bérard, A.; Mohrbach, H.
2010
Complete classification of rational solutions of $$A_{2n}$$-Painlevé systems. Zbl 07358507
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2021
Complete classification of rational solutions of $$A_{2n}$$-Painlevé systems. Zbl 07358507
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
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
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
2020
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials. Zbl 1408.33021
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2018
Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials. Zbl 1400.33017
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2018
Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials. Zbl 1326.81063
Grandati, Yves; Quesne, Christiane
2015
Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials. Zbl 1317.81135
Bagchi, B.; Grandati, Y.; Quesne, C.
2015
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. Zbl 1283.81059
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
2014
Extended Krein-Adler theorem for the translationally shape invariant potentials. Zbl 1296.81023
Gomez-Ullate, David; Grandati, Yves; Milson, Robert
2014
A short proof of the Gaillard-Matveev theorem based on shape invariance arguments. Zbl 1342.37068
Grandati, Y.
2014
Exceptional orthogonal polynomials and generalized Schur polynomials. Zbl 1337.33007
Grandati, Yves
2014
Disconjugacy, regularity of multi-indexed rationally extended potentials, and Laguerre exceptional polynomials. Zbl 1284.81128
Grandati, Y.; Quesne, C.
2013
Comments on the generalized SUSY QM partnership for Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials. Zbl 1360.81179
Grandati, Y.; Bérard, A.
2013
Multistep DBT and regular rational extensions of the isotonic oscillator. Zbl 1255.81169
Grandati, Yves
2012
Solvable rational extension of translationally shape invariant potentials. Zbl 1248.81038
Grandati, Yves; Bérard, Alain
2012
Solvable rational extensions of the isotonic oscillator. Zbl 1220.81089
Grandati, Yves
2011
Solvable rational extensions of the Morse and Kepler-Coulomb potentials. Zbl 1272.81059
Grandati, Yves
2011
Rational solutions for the Riccati-Schrödinger equations associated to translationally shape invariant potentials. Zbl 1193.81036
Grandati, Y.; Bérard, A.
2010
Complex representation of planar motions and conserved quantities of the Kepler and Hooke problems. Zbl 1377.70039
Grandati, Y.; Bérard, A.; Mohrbach, H.
2010
Duality properties of Gorringe-Leach equations. Zbl 1223.70015
Grandati, Yves; Bérard, Alain; Mohrbach, Hervé
2009
Magnetic monopole in the Feynman’s derivation of Maxwell equations. Zbl 0969.81064
Bérard, A.; Grandati, Y.; Mohrbach, H.
1999
Simplified large-$$N$$ limit in stochastic quantization. Zbl 0832.60101
Bérard, A.; Grandati, Y.; Grangé, P.; Mohrbach, H.
1995
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#### Cited by 80 Authors

 16 Grandati, Yves 14 Milson, Robert 14 Quesne, Christiane 12 Gómez-Ullate, David 11 Duran, Antonio J. 9 Marquette, Ian 9 Odake, Satoru 6 Bérard, Alain 5 Bonneux, Niels 5 Schulze-Halberg, Axel 4 Mohrbach, Hervé 4 Sasaki, Ryu 3 Bagchi, Bijan Kumar 3 García-Ferrero, Maria Ángeles 3 Hoffmann, Scott E. 3 Horváth, Ágota P. 3 Hussin, Véronique 3 Khare, Avinash 3 Kumari, Nisha 3 Mandal, Bhabani Prasad 3 Roy, Barnana 3 Stevens, Marco 3 Yadav, Rajesh Kumar 3 Zhang, Yaozhong 2 Bihun, Oksana 2 Hallnäs, Martin A. 2 Ho, Choon-Lin 2 Kamran, Niky 2 Kasman, Alex 2 Kuijlaars, Arno B. J. 2 Liaw, Constanze 2 Rañada, Manuel F. 2 Tsujimoto, Satoshi 2 Veselov, Alexander Petrovich 1 Arsenault, Ashley 1 Atia, Mohamed Jalel 1 Bassom, Andrew P. 1 Bracken, Paul Francis 1 Chalifour, Vincent 1 Chneguir, S. 1 Chou, Chung-I 1 Clarkson, Peter A. 1 Conti, Riccardo 1 Contreras-Astorga, Alonso 1 Cunden, Fabio Deelan 1 Curbera, Guillermo P. 1 Dadhich, Naresh 1 Feigin, Misha V. 1 Fernández C., David J. 1 Gaillard, Pierre 1 Grosu, Codruţ 1 Grosu, Corina 1 Grundland, Alfred Michel 1 Haese-Hill, William A. 1 Hamaker, Zachary 1 Kelly Stewart, Jessica 1 Kelly, Jessica Stewart 1 Laradji, Abdallah 1 Littlejohn, Lance L. 1 Luo, Yu 1 Magnus, Alphonse Ph. 1 Masoero, Davide 1 Mcintyre, Zoé 1 Mezzadri, Francesco 1 Miki, Hiroshi 1 Mourning, Clark 1 Ndayiragije, François 1 O’Connell, Neil 1 Opps, Sheldon B. 1 Osborn, John E. 1 Pérez, Mario 1 Ramos, Arturo 1 Rogers, Colin 1 Ronveaux, André 1 Saad, Nasser 1 Simm, Nick 1 Singh, Parampreet 1 Stembridge, John R. 1 Takemura, Kouichi 1 Winternitz, Pavel
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#### Cited in 30 Serials

 35 Journal of Mathematical Physics 14 Journal of Approximation Theory 8 Journal of Mathematical Analysis and Applications 4 Integral Transforms and Special Functions 4 Journal of Physics A: Mathematical and Theoretical 3 International Journal of Modern Physics A 3 International Journal of Theoretical Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Communications in Mathematical Physics 2 Letters in Mathematical Physics 2 Celestial Mechanics and Dynamical Astronomy 2 Mathematical Physics, Analysis and Geometry 2 Journal of Nonlinear Mathematical Physics 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Journal of Engineering Mathematics 1 Physics Letters. A 1 Advances in Mathematics 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Advances in Applied Mathematics 1 Annals of Physics 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Communications on Pure and Applied Analysis 1 Advances in Mathematical Physics 1 Annalen der Physik 1 ISRN Mathematical Physics 1 Journal of Mathematics
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#### Cited in 30 Fields

 69 Special functions (33-XX) 49 Quantum theory (81-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 26 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 7 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX)