Bilateral Bailey lemma and Rogers-Ramanujan identities

DOI10.1016/j.aam.2008.07.003zbMath1173.33310OpenAlexW1987848030WikidataQ124840475 ScholiaQ124840475MaRDI QIDQ1012159

Wenlong Zhang, Chu, Wenchang

Publication date: 14 April 2009

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2008.07.003

zbMATH Keywords

Rogers-Ramanujan identitiesbasic hypergeometric functionBailey's lemmabilateral Bailey lemma

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Partition identities; identities of Rogers-Ramanujan type (11P84) Bibasic functions and multiple bases (33D65)

Related Items (21)

q-Difference equations of moment integrals for transformational identities and generating functions ⋮ Iteration process for multiple Rogers-Ramanujan identities ⋮ Bilateral identities of the Rogers–Ramanujan type ⋮ Rogers-Ramanujan type identities via Abel's lemma on summation by parts ⋮ On Some Combinatorics of Rogers–Ramanujan Type Identities Using Signed Color Partitions ⋮ ON SOME COMBINATORIAL INTERPRETATIONS FOR ROGERS-RAMANUJAN TYPE IDENTITIES ⋮ Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities ⋮ A \(q\)-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers-Ramanujan identities ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(n\)-color compositions and lattice paths of Agarwal-Bressoud ⋮ BILATERAL BAILEY LEMMA AND FALSE THETA FUNCTIONS ⋮ Combinatorial interpretations of mock theta functions by attaching weights ⋮ Basic series identities and combinatorics ⋮ \(q\)-extensions of Dougall's bilateral \(_2H_2\)-series ⋮ A \(U(n + 1)\) Bailey lattice ⋮ Unnamed Item ⋮ On weighted signed color partitions

Uses Software

• RRtools
• recpf

Cites Work

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