Mgfun swMATH ID: 6227 Software Authors: Frédéric Chyzak Description: Introduction to the Package Mgfun and Related Packages The Mgfun Project is a collection of packages for the computer algebra system Maple, and is intended for the symbolic manipulation of a large class of special functions and combinatorial sequences (in one or several variables and indices) that appear in many branches of mathematics, mathematical physics, and engineering sciences. Members of the class satisfy a crucial finiteness property which makes the class amenable to computer algebra methods and enjoy numerous algorithmic closure properties, including algorithmic closures under integration and summation. (package Gfun, which performs the same calculations as Mgfun in the univariate case.) Homepage: http://algo.inria.fr/chyzak/mgfun.html Dependencies: Maple Related Software: Macaulay2; SINGULAR; Maple; 4ti2; Gfan; Risa/Asir; R; CoCoA; gfun; HolonomicFunctions; LattE; polymake; MathLibre; KSEG; Surf; TOPCOM; MACSYMA; Maxima; GeoGebra; NCAlgebra Cited in: 8 Publications all top 5 Cited by 12 Authors 2 Chyzak, Frédéric 1 Gatermann, Karin 1 Hibi, Takayuki 1 Koutschan, Christoph 1 Krattenthaler, Christian Friedrich 1 Levandovskyy, Viktor 1 Nakayama, Hiromasa 1 Nishiyama, Kenta 1 Paule, Peter 1 Quadrat, Alban 1 Robertz, Daniel 1 Salvy, Bruno Cited in 4 Serials 1 Journal of Symbolic Computation 1 Applicable Algebra in Engineering, Communication and Computing 1 Séminaire Lotharingien de Combinatoire 1 Lecture Notes in Mathematics all top 5 Cited in 14 Fields 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Special functions (33-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year