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qGeneratingFunctions

Short Description

The qGeneratingFunctions.m package by Christoph Koutschan provides commands for manipulating univariate q-holonomic sequences and power series: closure properties, conversion between q-difference and q-differential equations, guessing.

Registration and Legal Notices

The source code for this package is password protected. To get the password send an email to Peter Paule. It will be given for free to all researchers and non-commercial users.

Copyright © 1999–2012 The RISC Combinatorics Group, Austria — all rights reserved. Commercial use of the software is prohibited without prior written permission.

A Note on Encoded Files

This package contains one or more Mathematica input files which are encoded. Those files cannot be read or modified directly as plain text, but can be loaded into Mathematica just like any normal input file (i.e., with <<"file" or Get["file"]). There is no need (and also no way) to decode them by using additional software or a special key.

If loading an encoded file causes a syntax error, open it with a text editor and remove any blank lines at the beginning (for some reason your Mac could have inserted them silently...).

The Package

The package is contained in the Mathematica input file and is accompanied by the Mathematica notebook The current version is compatible with all Mathematica versions between 5.2 and 8.0. It might not run properly on earlier versions.

Literature

The theoretical background of qGeneratingFunctions is described in
Manuel Kauers, Christoph Koutschan. A Mathematica package for q-holonomic sequences and power series. The Ramanujan Journal, 19(2), pp. 137-150. 2009. Springer, ISSN 1382-4090. [pdf]
The examples presented there are collected in the Mathematica notebook demo.nb . To use the implementation it is sufficient to study the notebook.

Versions and Bugs

Right now you are using Version 1.9 last updated on August 10, 2011. Please report any bugs and comments to Christoph Koutschan.