Edit Profile (opens in new tab) Tremblay, Sébastien Co-Author Distance Author ID: tremblay.sebastien Published as: Tremblay, Sébastien; Tremblay, S. Documents Indexed: 20 Publications since 1998 Co-Authors: 17 Co-Authors with 20 Joint Publications 380 Co-Co-Authors all top 5 Co-Authors 0 single-authored 6 Kravchenko, Vladislav V. 5 Winternitz, Pavel 3 Rochon, Dominic 2 Grammaticos, Basil 2 Levi, Decio 2 Ramani, Alfred 1 Bilodeau, Alex 1 Khmelnytskaya, Kira V. 1 Kravchenko, Viktor G. 1 Lafortune, Stéphane 1 Morelos, Samy 1 Ouellet, Mathieu 1 Papillon, Charles 1 Pelantová, Edita 1 Ste-Marie, Isabelle 1 Svobodová, Milena 1 Torba, Sergii M. all top 5 Serials 5 Journal of Physics A: Mathematical and General 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Physics A: Mathematical and Theoretical 2 Advances in Applied Clifford Algebras 1 Physics Letters. A all top 5 Fields 7 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 3 Nonassociative rings and algebras (17-XX) 3 Difference and functional equations (39-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 194 times in 150 Documents Cited by ▼ Year ▼ Bicomplex quantum mechanics. II: The Hilbert space. Zbl 1142.81010 Rochon, D.; Tremblay, S. 33 2006 Bicomplex quantum mechanics. I: The generalized Schrödinger equation. Zbl 1169.81339 Rochon, D.; Tremblay, S. 26 2004 Solvable Lie algebras with triangular nilradicals. Zbl 1001.17011 Tremblay, S.; Winternitz, P. 23 1998 Integrable lattice equations and their growth properties. Zbl 1072.37509 Tremblay, S.; Grammaticos, B.; Ramani, A. 22 2001 Wave polynomials, transmutations and Cauchy’s problem for the Klein-Gordon equation. Zbl 1256.35009 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.; Tremblay, Sébastien 13 2013 On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory. Zbl 1139.81027 Kravchenko, V. V.; Rochon, D.; Tremblay, S. 11 2008 Integrable systems without the Painlevé property. Zbl 0953.34077 Ramani, A.; Grammaticos, B.; Tremblay, S. 11 2000 Complete systems of recursive integrals and Taylor series for solutions of Sturm – Liouville equations. Zbl 1243.34011 Kravchenko, Vladislav V.; Morelos, Samy; Tremblay, Sébastien 11 2012 Lie point symmetries of difference equations and lattices. Zbl 0966.39007 Levi, D.; Tremblay, S.; Winternitz, P. 11 2000 Lie symmetries of multidimensional difference equations. Zbl 0998.39008 Levi, D.; Tremblay, S.; Winternitz, P. 8 2001 Symmetry classification of diatomic molecular chains. Zbl 1018.81056 Lafortune, S.; Tremblay, S.; Winternitz, P. 5 2001 Fine grading of \(\mathrm{sl}(p^{2},\mathbb C)\) generated by tensor product of generalized Pauli matrices and its symmetries. Zbl 1111.81080 Pelantová, Edita; Svobodová, Milena; Tremblay, Sébastien 4 2006 Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. Zbl 1196.30043 Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien 4 2010 Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators. Zbl 1242.30039 Kravchenko, Vladislav V.; Tremblay, Sébastien 3 2011 Invariants of the nilpotent and solvable triangular Lie algebras. Zbl 1001.17012 Tremblay, S.; Winternitz, P. 3 2001 Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator. Zbl 1194.30052 Kravchenko, Vladislav V.; Tremblay, Sébastien 3 2010 Symmetries of differential-difference dynamical systems in a two-dimensional lattice. Zbl 1184.37044 Ste-Marie, Isabelle; Tremblay, Sébastien 1 2009 Supersymmetric generalized power functions. Zbl 1454.81098 Ouellet, Mathieu; Tremblay, Sébastien 1 2020 On two-dimensional supersymmetric quantum mechanics, pseudoanalytic functions and transmutation operators. Zbl 1276.81064 Bilodeau, Alex; Tremblay, Sébastien 1 2013 Supersymmetric generalized power functions. Zbl 1454.81098 Ouellet, Mathieu; Tremblay, Sébastien 1 2020 Wave polynomials, transmutations and Cauchy’s problem for the Klein-Gordon equation. Zbl 1256.35009 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.; Tremblay, Sébastien 13 2013 On two-dimensional supersymmetric quantum mechanics, pseudoanalytic functions and transmutation operators. Zbl 1276.81064 Bilodeau, Alex; Tremblay, Sébastien 1 2013 Complete systems of recursive integrals and Taylor series for solutions of Sturm – Liouville equations. Zbl 1243.34011 Kravchenko, Vladislav V.; Morelos, Samy; Tremblay, Sébastien 11 2012 Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators. Zbl 1242.30039 Kravchenko, Vladislav V.; Tremblay, Sébastien 3 2011 Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. Zbl 1196.30043 Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien 4 2010 Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator. Zbl 1194.30052 Kravchenko, Vladislav V.; Tremblay, Sébastien 3 2010 Symmetries of differential-difference dynamical systems in a two-dimensional lattice. Zbl 1184.37044 Ste-Marie, Isabelle; Tremblay, Sébastien 1 2009 On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory. Zbl 1139.81027 Kravchenko, V. V.; Rochon, D.; Tremblay, S. 11 2008 Bicomplex quantum mechanics. II: The Hilbert space. Zbl 1142.81010 Rochon, D.; Tremblay, S. 33 2006 Fine grading of \(\mathrm{sl}(p^{2},\mathbb C)\) generated by tensor product of generalized Pauli matrices and its symmetries. Zbl 1111.81080 Pelantová, Edita; Svobodová, Milena; Tremblay, Sébastien 4 2006 Bicomplex quantum mechanics. I: The generalized Schrödinger equation. Zbl 1169.81339 Rochon, D.; Tremblay, S. 26 2004 Integrable lattice equations and their growth properties. Zbl 1072.37509 Tremblay, S.; Grammaticos, B.; Ramani, A. 22 2001 Lie symmetries of multidimensional difference equations. Zbl 0998.39008 Levi, D.; Tremblay, S.; Winternitz, P. 8 2001 Symmetry classification of diatomic molecular chains. Zbl 1018.81056 Lafortune, S.; Tremblay, S.; Winternitz, P. 5 2001 Invariants of the nilpotent and solvable triangular Lie algebras. Zbl 1001.17012 Tremblay, S.; Winternitz, P. 3 2001 Integrable systems without the Painlevé property. Zbl 0953.34077 Ramani, A.; Grammaticos, B.; Tremblay, S. 11 2000 Lie point symmetries of difference equations and lattices. Zbl 0966.39007 Levi, D.; Tremblay, S.; Winternitz, P. 11 2000 Solvable Lie algebras with triangular nilradicals. Zbl 1001.17011 Tremblay, S.; Winternitz, P. 23 1998 all cited Publications top 5 cited Publications all top 5 Cited by 204 Authors 23 Kravchenko, Vladislav V. 15 Torba, Sergii M. 11 Omirov, Bakhrom A. 6 Camacho, Luisa Maria 6 Grammaticos, Basil 6 Gubbiotti, Giorgio 6 Ramani, Alfred 6 Tremblay, Sébastien 6 Winternitz, Pavel 5 Kumar, Romesh 5 Levi, Decio 4 Ghanmi, Allal 4 Ladra González, Manuel 4 Porter, R. Michael 4 Rochon, Dominic 3 Adashev, Jobir Q. 3 Campos, Hugo M. 3 Casas Miras, José Manuel 3 Elgourari, Aiad 3 Karimjanov, Ikboljon Abdulazizovich 3 Khudoyberdiyev, Abror Kh. 3 Navarro, Rosa María 3 Sahadevan, Ramajayam 3 Saini, Heera 3 Salimov, Arif A. 3 Scimiterna, Christian 3 Shabanskaya, Anastasia 3 Singh, Kulbir 3 Viallet, Claude Michel 2 Behboudi Asl, Manouchehr 2 Charak, Kuldeep Singh 2 Delgado, Briceyda B. 2 Han, Gang 2 Jin, Yongyang 2 Khmelnytskaya, Kira V. 2 Maheswari, C. Uma 2 Mase, Takafumi 2 Masutova, K. K. 2 Mimura, Naoyuki 2 Nakazono, Nobutaka 2 Roberts, John Anthony Gerard 2 Satsuma, Junkichi 2 Sharma, Aditi 2 Shen, Shoufeng 2 Tam, Hon-Wah 2 Tamizhmani, K. M. 2 Tran, Dinh Thi 2 Ulrych, S. 2 van Gorder, Robert Ashton 2 Willox, Ralph 2 Zine, Khalil 1 Abdurasulov, Kobiljon K. 1 Abouricha, Abdelkader 1 Agboola, A. D. 1 Akinpelu, Folake O. 1 Ali, Ali Hasan 1 Aranda Orna, Diego 1 Baird, Paul 1 Banerjee, Abhijit 1 Banerjee, Abhijit 1 Baylis, William E. 1 Benson, Joseph 1 Berglez, Peter 1 Bilgin, Merve 1 Bosko-Dunbar, Lindsey 1 Bourlioux, Anne 1 Boyko, Vyacheslav M. 1 Bravo O., Yesenia 1 Cakan, Rabia 1 Campoamor-Stursberg, Rutwig 1 Cañete, Elisa M. 1 Cao, Tingbin 1 Cârstea, Adrian Ştefan 1 Castillo Pérez, Raúl 1 Catarino, Paula Maria Machado Cruz 1 Cengiz, Nejmi 1 Chen, Benyong 1 Chen, Liqun 1 Dai, Binlin 1 Delisle, Laurent 1 Demskoi, Dmitry K. 1 Deng, Shaoqiang 1 Dias, José Carlos 1 Dorodnitsyn, Vladimir A. 1 Dorodonitsyn, Vladimir 1 Douglas, Andrew S. 1 Draper, Cristina 1 Dunbar, Jonathan D. 1 El Ainin, Mohammed Souid 1 Elduque, Alberto 1 Ersoy, Soley 1 Fedorchuk, Vasyl M. 1 Fedorchuk, Volodymyr I. 1 Fernández Barroso, José Manuel 1 Folly-Gbetoula, Mensah K. 1 Fu, Jingli 1 Fujiwara, Kazumasa 1 Gargoubi, Hichem 1 Ge, Hui 1 Georgiev, Vladimir S. ...and 104 more Authors all top 5 Cited in 55 Serials 21 Advances in Applied Clifford Algebras 13 Journal of Mathematical Physics 9 Journal of Mathematical Analysis and Applications 7 Communications in Algebra 7 Linear Algebra and its Applications 7 Journal of Nonlinear Mathematical Physics 6 Applied Mathematics and Computation 5 Mathematical Methods in the Applied Sciences 5 Journal of Physics A: Mathematical and Theoretical 4 Linear and Multilinear Algebra 3 Journal of Algebra 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Complex Variables and Elliptic Equations 2 International Journal of Theoretical Physics 2 Theoretical and Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Mathematical Sciences (New York) 2 International Journal of Geometric Methods in Modern Physics 2 Advances in Difference Equations 2 Complex Analysis and Operator Theory 2 Symmetry 1 Modern Physics Letters B 1 Acta Mechanica 1 American Mathematical Monthly 1 Applicable Analysis 1 Nonlinearity 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Forum Mathematicum 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Wavelets, Multiresolution and Information Processing 1 The Australian Journal of Mathematical Analysis and Applications 1 Advances in Mathematical Physics 1 Journal of Mathematical Extension 1 Arabian Journal of Mathematics 1 Journal of Computational Dynamics 1 Sahand Communications in Mathematical Analysis 1 Open Mathematics all top 5 Cited in 37 Fields 35 Functions of a complex variable (30-XX) 31 Nonassociative rings and algebras (17-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Ordinary differential equations (34-XX) 27 Difference and functional equations (39-XX) 26 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 10 Quantum theory (81-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year