Abstract
A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W.N. Bailey in his paper [Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1949) 421-435]. This leads to the derivation of a number of elegant new Rogers-Ramanujan type identities.
| Original language | English |
|---|---|
| Pages (from-to) | 669-688 |
| Number of pages | 20 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 308 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 15 2005 |
Scopus Subject Areas
- Analysis
- Applied Mathematics
Keywords
- Bailey pairs
- Basic hypergeometric series
- Rogers-Ramanujan identities
- q-series identities