New finite Rogers-Ramanujan identities

DOI10.1007/s11139-009-9182-0zbMath1191.11030arXivmath/0604407OpenAlexW3104522614MaRDI QIDQ1039655

Frédéric Jouhet, Victor J. W. Guo, Zeng, Jiang

Publication date: 23 November 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604407

zbMATH Keywords

\(q\)-identitiesfinite Rogers-Ramanujan identities

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (4)

Unnamed Item ⋮ On partition identities of Capparelli and Primc ⋮ On partition identities of Capparelli and Primc ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities

Uses Software

• RRtools
• recpf

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A purely verification proof of the first Rogers-Ramanujan identity
• A higher level Bailey lemma: proof and application
• Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type
• Partial-sum analogues of the Rogers-Ramanujan identities
• Finite Rogers-Ramanujan type identities
• Some operator identities and \(q\)-series transformation formulas
• 50 Years of Bailey's lemma
• Factors of alternating sums of products of binomial and q-binomial coefficients
• Some identities for terminating q-series
• Positivity preserving transformations for 𝑞-binomial coefficients
• Identities of the Rogers-Ramanujan Type
• The concept of Bailey chains

This page was built for publication: New finite Rogers-Ramanujan identities