Abstract
We revisit the umbral methods used by L. J. Rogers in his second proof of the Rogers-Ramanujan identities. We shall study how subsequent methods such as the Bailey chains and their variants arise naturally from Rogers' insights. We conclude with the introduction of multi-dimensional Bailey chains and apply them to prove some new Pentagonal Number Theorems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 464-475 |
| Number of pages | 12 |
| Journal | Journal of Combinatorial Theory. Series A |
| Volume | 91 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jul 2000 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics