Supernomial Coefficients, Bailey’s Lemma and Rogers—Ramanujan-type Identities

作者: S. Ole Warnaar

DOI: 10.1007/978-3-642-56513-7_14

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摘要: An elementary introduction to the recently introduced A2 Bailey lemma for supernomial coefficients is presented. As illustration, some q-series identities are (re)derived which natural analogues of classical (A1) Rogers-Ramanujan and their generalizations Andrews Bressoud. The intimately related, but unsolved problems inversion, − 1 higher level extensions also discussed. This yields new results conjectures involving basic hypergeometric series, string functions cylindric partitions.

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