Generating Functions
Short Description
Holonomic functions are solutions of linear differential equations with polynomial coefficients.
Holonomic sequences satisfy linear recurrence equations with polynomial coefficients. The
Mathematica package
GeneratingFunctions has been written by
Christian Mallinger,
a former student of the
RISC Combinatorics group.
It provides
tools to work with these holonomic objects, i.e., to perform some unary, binary and
n-ary
operations with these objects.
Moreover it is possible to easily verify identities of holonomic functions or
sequences.
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 consists of the following files:
Screenshot
Click
here
to see the package in action.
Literature
The package is described in C. Mallinger's diploma thesis
C. Mallinger, Algorithmic Manipulations and Transformations of Univariate Holonomic
Functions and Sequences, Diploma Thesis, RISC, J. Kepler University, Linz, August 1996.
[pdf]
Versions and Bugs
The current version of the package is 0.69 last updated on September 28, 2009.
Please report any bugs and comments to
Ralf Hemmecke.