Engel Expansion
Short Description
Engel is a Mathematica implementation of the
q-Engel Expansion
algorithm which expands
q-series into inverse polynomial
series. Examples of
q-Engel Expansions include the Rogers-Ramanujan
identities together with their elegant generalization by Garrett, Ismail and
Stanton.
The package has been developed by
Burkhard Zimmermann,
a Ph.D. student of the
RISC Combinatorics group.
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.
The Package
The
Engel package consists of the Mathematica package
and the Mathematica notebook
which serves as documentation and contains several examples.
Screenshot
Click
here to see the package in action.
Literature
A detailed description of the package (together with its
theoretical background) can be found in the paper
G.E. Andrews, A. Knopfmacher, P. Paule and B. Zimmermann,
Engel Expansions of q-Series by Computer Algebra,
in Symbolic Computation, Number Theory, Special Functions, Physics
and Combinatorics (F.G. Garvan and M.E.H. Ismail, eds.),
Developments in Mathematics, Vol. 4, pp. 33-57, Kluwer, 2001.
[pdf]
Versions and Bugs
The current version of the package is 10 last updated on June 23, 2004.
Please report any bugs and comments to
Burkhard Zimmermann.