qGeneratingFunctions swMATH ID: 14277 Software Authors: Kauers, Manuel; Koutschan, Christoph Description: A Mathematica package for q-holonomic sequences and power series. We describe a Mathematica package for dealing with q-holonomic sequences and power series. The package is intended as a q-analogue of the Maple package gfun and the Mathematica package GeneratingFunctions. It provides commands for addition, multiplication, and substitution of these objects, for converting between various representations (q-differential equations, q-recurrence equations, q-shift equations), for computing sequence terms and power series coefficients, and for guessing recurrence equations given initial terms of a sequence. Homepage: http://www.risc.jku.at/research/combinat/software/ergosum/RISC/qGeneratingFunctions.html Dependencies: Mathematica Related Software: qMultiSum; qZeil; qFunctions; RATE; OEIS; Mathematica; Maple; Guess; gfun; SageMath; DLMF; qseries; SIGMA; recpf; HYP; RRtools; GuessHolo2; GeneratingFunctions; Telescopers Cited in: 12 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A Mathematica package for \(q\)-holonomic sequences and power series. Zbl 1180.33030Kauers, Manuel; Koutschan, Christoph 2009 all top 5 Cited by 21 Authors 3 Uncu, Ali Kemal 2 Berkovich, Alexander 2 Chern, Shane 1 Ablinger, Jakob 1 Andrews, George Eyre 1 Bostan, Alin 1 Hebisch, Waldemar 1 Jiménez-Pastor, Antonio 1 Kauers, Manuel 1 Koepf, Wolfram A. 1 Koutschan, Christoph 1 Li, Zhitai 1 Nuspl, Philipp 1 Pillwein, Veronika 1 Pravica, David W. 1 Randriampiry, Njinasoa 1 Rubey, Martin 1 Sprenger, Torsten 1 Spurr, Michael J. 1 Tran, Anh Tuan 1 Yurkevich, Sergey V. all top 5 Cited in 8 Serials 5 Journal of Symbolic Computation 1 Journal of Mathematical Analysis and Applications 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 Applied and Computational Harmonic Analysis 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 The Ramanujan Journal all top 5 Cited in 10 Fields 7 Combinatorics (05-XX) 6 Number theory (11-XX) 5 Special functions (33-XX) 4 Computer science (68-XX) 2 Difference and functional equations (39-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year