## Bronstein, Manuel Eric

Compute Distance To:
 Author ID: bronstein.manuel-eric Published as: Bronstein, Manuel; Bronstein, M.
 Documents Indexed: 36 Publications since 1988, including 2 Books 3 Contributions as Editor Biographic References: 2 Publications Co-Authors: 13 Co-Authors with 15 Joint Publications 631 Co-Co-Authors
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### Co-Authors

 23 single-authored 6 Abramov, Sergeĭ Aleksandrovich 4 Petkovšek, Marko 1 Corless, Robert Malcolm 1 Davenport, James Harold 1 Grabmeier, Johannes 1 Jeffrey, David J. 1 Lafaille, Sébastien 1 Li, Ziming 1 Mulders, Thom 1 Salvy, Bruno 1 Sit, William Yu 1 Solé, Patrick 1 Weil, Jacques-Arthur 1 Weispfenning, Volker
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### Serials

 7 Journal of Symbolic Computation 3 Programming and Computer Software 2 Applicable Algebra in Engineering, Communication and Computing 2 Algorithms and Computation in Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics and Computers in Simulation 1 Theoretical Computer Science 1 Journal of Complexity 1 Integral Transforms and Special Functions 1 Progress in Computer Science and Applied Logic
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### Fields

 31 Computer science (68-XX) 23 Field theory and polynomials (12-XX) 13 Ordinary differential equations (34-XX) 7 Difference and functional equations (39-XX) 7 Numerical analysis (65-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 290 times in 222 Documents Cited by Year
An introduction to pseudo-linear algebra. Zbl 0868.34004
Bronstein, Manuel; Petkovšek, Marko
1996
On solutions of linear ordinary difference equations in their coefficient field. Zbl 0961.12004
Bronstein, Manuel
2000
Symbolic integration. I: Transcendental functions. Zbl 0880.12005
Bronstein, Manuel
1997
On polynomial solutions of linear operator equations. Zbl 0914.65132
Abramov, Sergei A.; Bronstein, Manuel; Petkovšek, Marko
1995
Symbolic integration I: Transcendental functions. 2nd ed. Zbl 1059.12002
Bronstein, Manuel
2005
On solutions of linear functional systems. Zbl 1356.65245
Abramov, Sergei A.; Bronstein, Manuel
2001
On solutions of linear ordinary differential equations in their coefficient field. Zbl 0752.34009
Bronstein, Manuel
1992
Integration of elementary functions. Zbl 0718.12006
Bronstein, Manuel
1990
Picard-Vessiot extensions for linear functional systems. Zbl 1360.12005
Bronstein, Manuel; Li, Ziming; Wu, Min
2005
On regular and logarithmic solutions of ordinary linear differential systems. Zbl 1169.34301
Abramov, S. A.; Bronstein, M.; Khmelnov, D. E.
2005
Linear ordinary differential equations: Breaking through the order 2 barrier. Zbl 0978.65507
Bronstein, Manuel
1992
Solving linear systems of differential and difference equations with respect to a part of the unknowns. Zbl 1179.65100
Abramov, S. A.; Bronstein, M.
2006
An improved algorithm for factoring linear ordinary differential operators. Zbl 0964.68583
Bronstein, Manuel
1994
Solutions of linear ordinary differential equations in terms of special functions. Zbl 1072.68652
Bronstein, Manuel; Lafaille, Sébastien
2002
On symmetric powers of differential operators. Zbl 0918.13010
Bronstein, Manuel; Mulders, Thom; Weil, Jacques-Arthur
1997
Hypergeometric dispersion and the orbit problem. Zbl 1326.68340
Abramov, Sergei A.; Bronstein, Manuel
2000
Full partial fraction decomposition of rational functions. Zbl 0920.12006
Bronstein, Manuel; Salvy, Bruno
1993
The transcendental Risch differential equation. Zbl 0707.12003
Bronstein, Manuel
1990
On rational and hypergeometric solutions of linear ordinary difference equations in $$\Pi\Sigma^\ast$$-field extensions. Zbl 1483.12005
Abramov, Sergei A.; Bronstein, Manuel; Petkovšek, Marko; Schneider, Carsten
2021
A unification of Liouvillian extensions. Zbl 0757.12003
Bronstein, Manuel
1990
On the factorization of linear ordinary differential operators. Zbl 1037.34501
Bronstein, Manuel
1996
Computer algebra algorithms for linear ordinary differential and difference equations. Zbl 1021.12006
Bronstein, Manuel
2001
On Ore rings, linear operators and factorization. Zbl 0828.16035
Bronstein, Manuel; Petkovšek, Marko
1994
Algebraic properties of the Lambert $$W$$ function from a result of Rosenlicht and of Liouville. Zbl 1156.33004
Bronstein, Manuel; Corless, Robert M.; Davenport, James H.; Jeffrey, D. J.
2008
The Risch differential equation on an algebraic curve. Zbl 1019.12500
Bronstein, Manuel
1991
Integration and differential equations in computer algebra. Zbl 0875.68570
Bronstein, Manuel
1992
Linear recurrences with polynomial coefficients. Zbl 1126.94013
Bronstein, Manuel; Solé, Patrick
2004
Formulas for series computations. Zbl 0760.12005
Bronstein, Manuel
1992
Symbolic integration: towards practical algorithms. Zbl 0724.12006
Bronstein, Manuel
1988
Parallel integration (extended abstract). Zbl 1103.65309
Bronstein, M.
2006
On rational and hypergeometric solutions of linear ordinary difference equations in $$\Pi\Sigma^\ast$$-field extensions. Zbl 1483.12005
Abramov, Sergei A.; Bronstein, Manuel; Petkovšek, Marko; Schneider, Carsten
2021
Algebraic properties of the Lambert $$W$$ function from a result of Rosenlicht and of Liouville. Zbl 1156.33004
Bronstein, Manuel; Corless, Robert M.; Davenport, James H.; Jeffrey, D. J.
2008
Solving linear systems of differential and difference equations with respect to a part of the unknowns. Zbl 1179.65100
Abramov, S. A.; Bronstein, M.
2006
Parallel integration (extended abstract). Zbl 1103.65309
Bronstein, M.
2006
Symbolic integration I: Transcendental functions. 2nd ed. Zbl 1059.12002
Bronstein, Manuel
2005
Picard-Vessiot extensions for linear functional systems. Zbl 1360.12005
Bronstein, Manuel; Li, Ziming; Wu, Min
2005
On regular and logarithmic solutions of ordinary linear differential systems. Zbl 1169.34301
Abramov, S. A.; Bronstein, M.; Khmelnov, D. E.
2005
Linear recurrences with polynomial coefficients. Zbl 1126.94013
Bronstein, Manuel; Solé, Patrick
2004
Solutions of linear ordinary differential equations in terms of special functions. Zbl 1072.68652
Bronstein, Manuel; Lafaille, Sébastien
2002
On solutions of linear functional systems. Zbl 1356.65245
Abramov, Sergei A.; Bronstein, Manuel
2001
Computer algebra algorithms for linear ordinary differential and difference equations. Zbl 1021.12006
Bronstein, Manuel
2001
On solutions of linear ordinary difference equations in their coefficient field. Zbl 0961.12004
Bronstein, Manuel
2000
Hypergeometric dispersion and the orbit problem. Zbl 1326.68340
Abramov, Sergei A.; Bronstein, Manuel
2000
Symbolic integration. I: Transcendental functions. Zbl 0880.12005
Bronstein, Manuel
1997
On symmetric powers of differential operators. Zbl 0918.13010
Bronstein, Manuel; Mulders, Thom; Weil, Jacques-Arthur
1997
An introduction to pseudo-linear algebra. Zbl 0868.34004
Bronstein, Manuel; Petkovšek, Marko
1996
On the factorization of linear ordinary differential operators. Zbl 1037.34501
Bronstein, Manuel
1996
On polynomial solutions of linear operator equations. Zbl 0914.65132
Abramov, Sergei A.; Bronstein, Manuel; Petkovšek, Marko
1995
An improved algorithm for factoring linear ordinary differential operators. Zbl 0964.68583
Bronstein, Manuel
1994
On Ore rings, linear operators and factorization. Zbl 0828.16035
Bronstein, Manuel; Petkovšek, Marko
1994
Full partial fraction decomposition of rational functions. Zbl 0920.12006
Bronstein, Manuel; Salvy, Bruno
1993
On solutions of linear ordinary differential equations in their coefficient field. Zbl 0752.34009
Bronstein, Manuel
1992
Linear ordinary differential equations: Breaking through the order 2 barrier. Zbl 0978.65507
Bronstein, Manuel
1992
Integration and differential equations in computer algebra. Zbl 0875.68570
Bronstein, Manuel
1992
Formulas for series computations. Zbl 0760.12005
Bronstein, Manuel
1992
The Risch differential equation on an algebraic curve. Zbl 1019.12500
Bronstein, Manuel
1991
Integration of elementary functions. Zbl 0718.12006
Bronstein, Manuel
1990
The transcendental Risch differential equation. Zbl 0707.12003
Bronstein, Manuel
1990
A unification of Liouvillian extensions. Zbl 0757.12003
Bronstein, Manuel
1990
Symbolic integration: towards practical algorithms. Zbl 0724.12006
Bronstein, Manuel
1988
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### Cited by 228 Authors

 28 Abramov, Sergeĭ Aleksandrovich 18 Schneider, Carsten 11 Chen, Shaoshi 11 Singer, Michael F. 10 Bronstein, Manuel Eric 10 Kauers, Manuel 8 Kotta, Ulle 8 Li, Ziming 8 Petkovšek, Marko 7 Barkatou, Moulay A. 7 Ryabenko, Anna A. 6 Corless, Robert Malcolm 6 Tõnso, Maris 5 Ablinger, Jakob 5 Cluzeau, Thomas 5 Feng, Ruyong 5 Panferov, Anton A. 5 Ulmer, Felix 4 Blümlein, Johannes 4 Gao, Xiaoshan 4 Koutschan, Christoph 4 Salvy, Bruno 3 Belikov, Juri 3 Bostan, Alin 3 Giesbrecht, Mark W. 3 Jeffrey, David J. 3 Labahn, George 3 Mezzarobba, Marc 3 Moir, Robert H. C. 3 Moreno Maza, Marc 3 Paule, Peter 3 Quadrat, Alban 3 Raab, Clemens G. 3 Regensburger, Georg 3 Rosenkranz, Markus 3 Schwarz, Fritz 3 van Hoeij, Mark 3 Wang, Ronghua 3 Xie, Ning 2 Bartosiewicz, Zbigniew 2 Chen, Changbo 2 Cheng, Howard 2 Chyzak, Frédéric 2 Compoint, Elie 2 Covanov, Svyatoslav 2 Cruz-Sampedro, Jaime 2 Driver, Kathy A. 2 Droste, Manfred 2 Echi, Nadhem 2 Garoufalidis, Stavros 2 Gheffar, Amal 2 Gonzalez-Vega, Laureano 2 Halás, Miroslav 2 Hou, Qinghu 2 Huang, Hui 2 Jaroschek, Maximilian 2 Kaltofen, Erich L. 2 Malykh, Mikhail Dmitrievich 2 Mansouri, Farnam 2 Middeke, Johannes 2 Moll, Victor Hugo 2 Prodinger, Helmut 2 Rueda, Sonia L. 2 Tetlalmatzi-Montiel, Margarita 2 Tsarev, Sergej Petrovich 2 Weideman, J. André C. 2 Weil, Jacques-Arthur 2 Wyrwas, Małgorzata 2 Xie, Yuzhen 2 Zhang, Mingbo 2 Zima, Eugene V. 2 Zurro, María-Angeles 1 Alekseeva, S. A. 1 Amiraslani, Amirhossein 1 Antritter, Felix 1 Aparicio-Monforte, Ainhoa 1 Bauer, Andrej 1 Bazaei, Ali 1 Beckermann, Bernhard 1 Belkić, Dževad 1 Benoit, Alexandre 1 Benouaret, Chahrazed 1 Bóna, Miklós 1 Bönisch, Kilian 1 Boros, George 1 Boulier, François 1 Boyle, Phelim P. 1 Broughton, Gary 1 Buchberger, Bruno 1 Butcher, John C. 1 Cabada, Alberto 1 Cao, Jian 1 Casale, Guy 1 Cazaurang, Franck 1 Chen, William Yong-Chuan 1 Cheon, Gi-Sang 1 Chèze, Guillaume 1 Combot, Thierry 1 Cormier, Olivier 1 Davenport, James Harold ...and 128 more Authors
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### Cited in 61 Serials

 55 Journal of Symbolic Computation 22 Programming and Computer Software 10 Advances in Applied Mathematics 8 Applicable Algebra in Engineering, Communication and Computing 6 Theoretical Computer Science 5 Mathematics of Computation 5 Applied Mathematics and Computation 5 Journal of Pure and Applied Algebra 5 Computational Mathematics and Mathematical Physics 5 ACM Communications in Computer Algebra 4 Journal of Mathematical Sciences (New York) 4 Journal of Systems Science and Complexity 3 Discrete Mathematics 3 Numerical Algorithms 3 The Ramanujan Journal 3 Mathematics in Computer Science 2 Computer Physics Communications 2 Journal of Mathematical Physics 2 Annales de l’Institut Fourier 2 Automatica 2 Journal of Algebra 2 Kybernetika 2 Mathematische Annalen 2 Systems & Control Letters 2 Journal of Complexity 2 The Electronic Journal of Combinatorics 2 Journal of Difference Equations and Applications 2 European Journal of Control 2 Annals of Combinatorics 2 Foundations of Computational Mathematics 2 Journal of Algebra and its Applications 2 Proceedings of the Estonian Academy of Sciences 1 American Mathematical Monthly 1 International Journal of Control 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 The Mathematical Gazette 1 Nuclear Physics. B 1 Bulletin of Mathematical Biology 1 Prikladnaya Matematika i Mekhanika 1 Czechoslovak Mathematical Journal 1 Journal of Number Theory 1 Mathematics and Computers in Simulation 1 International Journal of Production Research 1 Differential Geometry and its Applications 1 Designs, Codes and Cryptography 1 Linear Algebra and its Applications 1 Computational and Applied Mathematics 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry 1 Abstract and Applied Analysis 1 Journal of High Energy Physics 1 Algebraic & Geometric Topology 1 Miscelánea Matemática 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Advances in Difference Equations 1 International Journal of Number Theory 1 Complex Analysis and Operator Theory 1 Bulletin of Mathematical Sciences 1 Mathematical Control and Related Fields 1 ISRN Applied Mathematics
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### Cited in 37 Fields

 99 Computer science (68-XX) 67 Field theory and polynomials (12-XX) 65 Ordinary differential equations (34-XX) 47 Special functions (33-XX) 37 Numerical analysis (65-XX) 29 Difference and functional equations (39-XX) 21 Number theory (11-XX) 17 Commutative algebra (13-XX) 15 Systems theory; control (93-XX) 13 Combinatorics (05-XX) 10 Associative rings and algebras (16-XX) 9 Quantum theory (81-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 3 Algebraic geometry (14-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Sequences, series, summability (40-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)