Abstract
A family of q-Lagrange inversion formulas is given. Special cases include quadratic and cubic transformations for basic hypergeometric series. The q-analogs of the so-called “strange evaluations” are also corollaries. Some new Rogers- Ramanujan identities are given. A connection between the work of Rogers and Andrews, and q-Lagrange inversion is stated.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 173-201 |
| Number of pages | 29 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 277 |
| Issue number | 1 |
| DOIs | |
| State | Published - May 1983 |
| Externally published | Yes |
Keywords
- Basic hypergeometric series
- Lagrange inversion
- Rogers-Ramanujan identities