✦ LIBER ✦
An Infinite Family of Engel Expansions of Rogers–Ramanujan Type
✍ Scribed by George E. Andrews; Arnold Knopfmacher; Peter Paule
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 89 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0196-8858
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✦ Synopsis
The extended Engel expansion is an algorithm that leads to unique series expansions of q-series. Various examples related to classical partition theorems, including the Rogers-Ramanujan identities, have been given recently. The object of this paper is to show that the new and elegant Rogers-Ramanujan generalization found by Garrett, Ismail, and Stanton also fits into this framework. This not only reveals the existence of an infinite, parameterized family of extended Engel expansions, but