Copyright © 2003 Elsevier Ltd. All rights reserved.
RRtools—a Maple package for aiding the discovery and proof of finite Rogers–Ramanujan type identities
Received 24 September 2002;
accepted 30 April 2003.
Available online 20 February 2004.
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Abstract
The purpose of this paper is to introduce the RRtools and recpf Maple packages which were developed by the author to assist in the discovery and proof of finitizations of identities of the Rogers–Ramanujan type.
Author Keywords: Author Keywords: Rogers–Ramanujan identities; q-series; Experimental mathematics
Article Outline
- 1. Introduction
- 2. Mathematical preliminaries
- 3. Finitization and duality for Rogers–Ramanujan type identities
- 4. The RRtools Maple package
- 4.1. Set-up and initialization
- 4.2. Basic
-functions
- 4.3.
-difference equations and recurrences
- 4.4. Conjecturing a finitization
- 4.5. Tools for duality
- 4.6. -shift operator algebraic procedures
- 5. A user’s guide to the recpf Maple package
- Acknowledgements
- References







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