\(U(n+1)\) WP-Bailey tree

DOI10.1007/s11139-016-9790-4zbMath1350.33033OpenAlexW2468964629MaRDI QIDQ312428

Qiyan Liu, Zhizheng Zhang

Publication date: 15 September 2016

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9790-4

zbMATH Keywords

\(q\)-series\(U(n+1)\) Bailey pair\(U(n+1)\) basic hypergeometric series\(U(n+1)\) WP-Bailey chainWP-Bailey pair

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items

Elliptic well-poised Bailey transforms and lemmas on root systems ⋮ A \(U(n+1)\) WP-Bailey lattice and its applications ⋮ The \(C_n\) WP-Bailey chain

Cites Work

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• The \(C_ \ell\) Bailey transform and Bailey lemma
• Some identities between basic hypergeometric series deriving from a new Bailey-type transformation
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• Some implications of the WP-Bailey tree
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• Extensions of the well-poised and elliptic well-poised Bailey lemma
• Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma
• \(U(n)\) very-well-poised \(_{10}\phi_ 9\) transformations
• A Bailey tree for integrals
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