On expansion of algebraic functions in power and puiseux series, I
Journal of Complexity
On expansion of algebraic functions in power and Puiseux series, II
Journal of Complexity
Concrete mathematics: a foundation for computer science
Concrete mathematics: a foundation for computer science
A holonomic systems approach to special functions identities
Journal of Computational and Applied Mathematics
On Algebraic Solutions of Linear Differential Equations with Primitive Unimodular Galois Group
AAECC-9 Proceedings of the 9th International Symposium, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Finding all hypergeometric solutions of linear differential equations
ISSAC '93 Proceedings of the 1993 international symposium on Symbolic and algebraic computation
Fraction-free computation of matrix Padé systems
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
A modular algorithm for computing greatest common right divisors of Ore polynomials
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
Basic analytic combinatorics of directed lattice paths
Theoretical Computer Science
On the robustness of interconnections in random graphs: a symbolic approach
Theoretical Computer Science
Theoretical Computer Science
Journal of Computational and Applied Mathematics
Asymptotic analysis of an optimized quicksort algorithm
Information Processing Letters
Journal of Symbolic Computation
ESF: an automatically generated encyclopedia of special functions
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Computer algebra handbook
Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials
Journal of Computational and Applied Mathematics
Solving mathematical problems using knowledge-based systems
Mathematics and Computers in Simulation - Special issue: Applications of computer algebra in science, engineering, simulation and special software
D-finiteness: algorithms and applications
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
Effective scalar products of D-finite symmetric functions
Journal of Combinatorial Theory Series A
Haruspicy 3: the anisotropic generating function of directed bond-animals is not D-finite
Journal of Combinatorial Theory Series A
An algorithm for deciding zero equivalence of nested polynomially recurrent sequences
ACM Transactions on Algorithms (TALG)
Computing Properties of Numerical Imperative Programs by Symbolic Computation
Fundamenta Informaticae - Half a Century of Inspirational Research: Honoring the Scientific Influence of Antoni Mazurkiewicz
Computing the algebraic relations of C-finite sequences and multisequences
Journal of Symbolic Computation
Case Studies in Model Manipulation for Scientific Computing
Proceedings of the 9th AISC international conference, the 15th Calculemas symposium, and the 7th international MKM conference on Intelligent Computer Mathematics
Finding efficient recursions for risk aggregation by computer algebra
Journal of Computational and Applied Mathematics
Journal of Symbolic Computation
NumGfun: a package for numerical and analytic computation with D-finite functions
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation
Effective bounds for P-recursive sequences
Journal of Symbolic Computation
Controlled non-uniform random generation of decomposable structures
Theoretical Computer Science
The dynamic dictionary of mathematical functions (DDMF)
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
Journal of Symbolic Computation
Counting colored planar maps: Algebraicity results
Journal of Combinatorial Theory Series B
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Sampling distribution of the variance
Winter Simulation Conference
Fast computation of common left multiples of linear ordinary differential operators
ACM Communications in Computer Algebra
Algebraic generating functions in enumerative combinatorics and context-free languages
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Transforming problems from analysis to algebra: A case study in linear boundary problems
Journal of Symbolic Computation
Rigorous polynomial approximation using taylor models in Coq
NFM'12 Proceedings of the 4th international conference on NASA Formal Methods
Computing Properties of Numerical Imperative Programs by Symbolic Computation
Fundamenta Informaticae - Half a Century of Inspirational Research: Honoring the Scientific Influence of Antoni Mazurkiewicz
Non-redundant random generation algorithms for weighted context-free grammars
Theoretical Computer Science
Guessing singular dependencies
Journal of Symbolic Computation
Bounded kolmogorov complexity based on cognitive models
AGI'13 Proceedings of the 6th international conference on Artificial General Intelligence
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We describe the GFUN package which contains functions for manipulating sequences, linear recurrences, or differential equations and generating functions of various types. This article is intended both as an elementary introduction to the subject and as a reference manual for the package.