The MultiIntegrate package by
allows to compute multi-dimensional integrals over hyperexponential integrands in terms of (generalized) harmonic sums. This package uses variations and extensions of the multivariate Alkmkvist-Zeilberger algorithm.
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...).
The package is contained in the Mathematica input file
and is accompanied by the Mathematica notebook:
demo.nb (for Mathematica version 11.3)
Right now you are using Version 1.0 released on October 11, 2018.
This version is compatible with Mathematica versions from 9.0 to 11.3.
Please report any bugs and comments
The theoretical background of the algorithms implemented in
MultiIntegrate is described in
- Computer Algebra Algorithms for Special Functions in Particle Physics (PhD Thesis).
RISC, Johannes Kepler University, April 2012.
J. Ablinger, A. Behring, J. Blümlein,A. De Freitas,A. von Manteuffel and C. Schneider. Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra.Comput. Phys. Comm. 202, pp. 33-112. 2016. ISSN 0010-4655. arXiv:1509.08324 [hep-ph].
The PhD thesis also contains a chapter about how to use the package.