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gfun

swMATH ID: 344
Software Authors: B. Salvy; P. Zimmermann
Description: The gfun package provides tools for determining and manipulating generating functions. You can perform computations with generating functions defined by equations. For example, given two generating functions defined by linear differential equations with polynomial coefficients, there is a procedure to compute the differential equation satisfied by their product. Each command in the gfun package can be accessed by using either the long form or the short form of the command name in the command calling sequence. As the underlying implementation of the gfun package is a module, it is also possible to use the form gfun:-command to access a command from the package. For more information, see Module Members.
Homepage: http://algo.inria.fr/libraries/papers/gfun.html
Dependencies: Maple
Related Software: Maple; OEIS; GeneratingFunctions; Mathematica; SIGMA; DLMF; HolonomicFunctions; DEtools; ore_algebra; SageMath; FPS; NumGfun; Guess; qZeil; SumTools; MultiZeilberger; GenRGenS; Theorema; REDUCE; RATE
Cited in: 144 Publications
Further Publications: http://perso.ens-lyon.fr/bruno.salvy/?page_id=12
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Cited by 196 Authors

13 Kauers, Manuel
13 Salvy, Bruno
10 Koepf, Wolfram A.
9 Schneider, Carsten
8 Bousquet-Mélou, Mireille
6 Flajolet, Philippe
6 Paule, Peter
6 Prodinger, Helmut
6 Zeilberger, Doron
5 Bostan, Alin
5 Krattenthaler, Christian Friedrich
5 Pillwein, Veronika
4 Gerhold, Stefan
3 Banderier, Cyril
3 Beckermann, Bernhard
3 Bergeron, François
3 Carette, Jacques
3 Chyzak, Frédéric
3 Jiménez-Pastor, Antonio
3 Labahn, George
3 Rechnitzer, Andrew Daniel
3 Ronveaux, André
3 Rosenkranz, Markus
3 van der Hoeven, Joris
3 Wallner, Michael
3 Zimmermann, Burkhard
2 Anand, Christopher Kumar
2 Bendkowski, Maciej
2 Bernardi, Olivier
2 Blümlein, Johannes
2 Borwein, Jonathan Michael
2 Buchberger, Bruno
2 Denise, Alain
2 Foupouagnigni, Mama
2 Guttmann, Anthony John
2 Koutschan, Christoph
2 Lescanne, Pierre
2 Massazza, Paolo
2 Mezzarobba, Marc
2 Nemes, István
2 Noy, Marc
2 Panholzer, Alois
2 Ponty, Yann
2 Rubey, Martin
2 Zimmermann, Paul
1 Ahmed, Maher
1 Albert, Michael Henry
1 Andrews, George Eyre
1 Area, Iván
1 Ayyer, Arvind
1 Bacher, Axel
1 Bacher, Roland
1 Bailey, David Harold
1 Baril, Jean-Luc
1 Barnard, Emily
1 Bećirović, A.
1 Benoit, Alexandre
1 Beuchler, Sven
1 Blomberg, Lars
1 Bodini, Olivier
1 Bodirsky, Manuel
1 Bóna, Miklós
1 Bonichon, Nicolas
1 Bréhard, Florent
1 Brimacombe, Chris
1 Brisebarre, Nicolas
1 Burstein, Alexander
1 Cabay, Stan
1 Castiglione, Giusi
1 Chaudhuri, Anupam
1 Chèze, Guillaume
1 Chiadjeu, Etienne Nana
1 Cleary, Sean
1 Cluzeau, Thomas
1 Corey, Daniel
1 Corless, Robert Malcolm
1 Curtis, Andrew Thomas
1 Dahne, Joel
1 Darrasse, Alexis
1 Do, Norman
1 Donten-Bury, Maria
1 Dorbec, Paul
1 Durand, Marianne
1 Edelman, Alan Stuart
1 Ekhad, Shalosh B. (computer)
1 Elder, Murray J.
1 Evans, Ronald J.
1 Fabijonas, Bruce R.
1 Fauvet, Frédéric
1 Fujita, Naoki
1 Fulmek, Markus
1 Fusy, Éric
1 Gascon, Francis
1 Gauthier, Bruno
1 Giesbrecht, Mark W.
1 Glebsky, Lev Yu.
1 Godoy, Eduardo Paciência
1 Gröpl, Clemens
1 Guillén, Martha Bernal
1 Haraldson, Joseph
...and 96 more Authors
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Cited in 52 Serials

15 Journal of Symbolic Computation
10 Theoretical Computer Science
7 Advances in Applied Mathematics
4 The Electronic Journal of Combinatorics
4 Séminaire Lotharingien de Combinatoire
4 Journal of Integer Sequences
3 Discrete Mathematics
3 Journal of Combinatorial Theory. Series A
3 Journal of Computational and Applied Mathematics
3 European Journal of Combinatorics
3 The Ramanujan Journal
3 Annals of Combinatorics
3 Foundations of Computational Mathematics
3 Mathematics in Computer Science
2 Mathematics of Computation
2 ACM Transactions on Mathematical Software
2 Journal of Statistical Planning and Inference
2 Applicable Algebra in Engineering, Communication and Computing
2 Experimental Mathematics
2 Journal of Algebraic Combinatorics
2 Journal of Difference Equations and Applications
2 Integers
1 Computer Physics Communications
1 Information Processing Letters
1 Journal of Mathematical Biology
1 The Annals of Probability
1 The Computer Journal. Section A / Section B
1 Computing
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series B
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 Programming and Computer Software
1 Results in Mathematics
1 SIAM Journal on Matrix Analysis and Applications
1 Publicacions Matemàtiques
1 SIAM Review
1 SIAM Journal on Scientific Computing
1 PU.M.A. Pure Mathematics and Applications
1 ETNA. Electronic Transactions on Numerical Analysis
1 Integral Transforms and Special Functions
1 Reliable Computing
1 Computer Science Journal of Moldova
1 Analele Universității din Timișoara. Seria Matematică-Informatică
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Communications in Nonlinear Science and Numerical Simulation
1 Annales Mathematicae Silesianae
1 International Journal of Number Theory
1 Groups, Geometry, and Dynamics
1 Journal of Physics A: Mathematical and Theoretical
1 Logical Methods in Computer Science
1 ACM Transactions on Algorithms
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Cited in 39 Fields

72 Computer science (68-XX)
61 Combinatorics (05-XX)
37 Special functions (33-XX)
24 Numerical analysis (65-XX)
14 Number theory (11-XX)
14 Ordinary differential equations (34-XX)
10 Commutative algebra (13-XX)
6 Field theory and polynomials (12-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Approximations and expansions (41-XX)
4 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
4 Probability theory and stochastic processes (60-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Associative rings and algebras (16-XX)
3 Convex and discrete geometry (52-XX)
3 Biology and other natural sciences (92-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Group theory and generalizations (20-XX)
2 Real functions (26-XX)
2 Partial differential equations (35-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Quantum theory (81-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

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