Applications of q-lagrange inversion to basic hypergeometric series

Ira Gessel, Dennis Stanton

Research output: Contribution to journalArticlepeer-review

96 Scopus citations

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 languageEnglish (US)
Pages (from-to)173-201
Number of pages29
JournalTransactions of the American Mathematical Society
Volume277
Issue number1
DOIs
StatePublished - May 1983

Keywords

  • Basic hypergeometric series
  • Lagrange inversion
  • Rogers-Ramanujan identities

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