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)|
|Number of pages||29|
|Journal||Transactions of the American Mathematical Society|
|State||Published - May 1983|
- Basic hypergeometric series
- Lagrange inversion
- Rogers-Ramanujan identities