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Title

A Mathematica package for q-holonomic sequences and power series
Authors

Manuel Kauers
Christoph Koutschan
Journal / Anthology

RAMANUJAN JOURNAL
Year: 2009
Volume: 19
Issue: 2
Page range: 137-150
Contents

The package can be downloaded from http://www.risc.jku.at/research/combinat/software/qGeneratingFunctions/index.php
Description

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.
Subjects

*Mathematica Technology > Programming > Packages and Contexts
*Teaching
Keywords

computer algebra, q-Calculus, power series, recurrence equations