Shifted versions of the Bailey and well-poised Bailey lemmas

DOI10.1007/s11139-010-9282-xzbMath1204.33021arXiv0906.1870OpenAlexW2594404005WikidataQ124880657 ScholiaQ124880657MaRDI QIDQ618869

Frédéric Jouhet

Publication date: 17 January 2011

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

Full work available at URL: https://arxiv.org/abs/0906.1870

zbMATH Keywords

Bailey lemmaRogers-Ramanujan identities\(q\)-SeriesWP-Bailey lemma

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

\(U(n+1)\) WP-Bailey tree, Elliptic well-poised Bailey transforms and lemmas on root systems, Note on the truncated generalizations of Gauss's square exponent theorem, A \(U(n + 1)\) Bailey lattice, The \(C_n\) WP-Bailey chain

Cites Work

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• Multiple series Rogers-Ramanujan type identities
• Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas
• General WP-Bailey chains
• A new class of \(q\)-Fibonacci polynomials
• Extensions of the well-poised and elliptic well-poised Bailey lemma
• Variants of the Andrews-Gordon identities
• Summation and transformation formulas for elliptic hypergeometric series.
• Partial-sum analogues of the Rogers-Ramanujan identities
• Variants of the Rogers-Ramanujan identities
• Another proof of Bailey's \({}_6\psi_6\) summation
• An A₂ Bailey lemma and Rogers-Ramanujan-type identities
• Partial Theta Functions. I. Beyond the Lost Notebook
• The WP-Bailey Tree and its Implications
• Identities of the Rogers-Ramanujan Type
• Change of base in Bailey pairs
• The concept of Bailey chains