Abstract
Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find infinite sum representations for these infinite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. General- izations of the Rogers-Ramanujan type identities involving polynomials are given again as corollaries of integral evaluations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4061-4091 |
| Number of pages | 31 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 355 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 2003 |