is a Mathematica implementation for solving linear difference
equations with polynomial coefficients. It contains an algorithm for
finding polynomial solutions (by Marko Petkovsek), the algorithm by
Sergei Abramov for finding rational solutions, the algorithm of Mark van
Hoeij for finding hypergeometric solutions and the algorithm of Marko
Petkovsek for finding partial solutions of inhomogeneous equations. The
package has been developed by Christian Weixlbaumer in the frame of his
Registration and Legal Notices
The source code for this package is password protected. To get the password
send an email to
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
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...).
package consists of the Mathematica file
In addition some examples can be found in the Mathematica notebook
Information on the use of the package (together with its
theoretical background) can be found in the diploma thesis
Solutions of Difference Equations with Polynomial Coefficients,
Diploma Thesis, RISC, J. Kepler University, Linz, January 2001.
Versions and Bugs
The current version of the package is 1.02 last updated on February 10, 2003.
Please report any bugs and comments to