Abstract
In a recent paper, I defined the "standard multiparameter Bailey pair" (SMPBP) and demonstrated that all of the classical Bailey pairs considered by W.N. Bailey in his famous paper (Proc. London Math. Soc. (2), 50 (1948), 1-10) arose as special cases of the SMPBP. Additionally, I was able to find a number of new Rogers-Ramanujan type identities. From a given Bailey pair, normally only one or two Rogers-Ramanujan type identities follow immediately. In this present work, I present the set of q-difference equations associated with the SMPBP, and use these q-difference equations to deduce the complete families of Rogers-Ramanujan type identities.
| Original language | English |
|---|---|
| Pages (from-to) | 1069-1084 |
| Number of pages | 16 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 10 |
| Issue number | 12 |
| DOIs | |
| State | Published - Oct 2004 |
Scopus Subject Areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
Keywords
- Double power series
- Rogers-Ramanujan identities
- q-Difference equations
- q-Series