On a characteristic equation of well-poised Bailey chains

DOI10.1007/s11139-007-9060-6zbMath1172.05009OpenAlexW2031848160MaRDI QIDQ1031960

J. Blot

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1007/s11139-007-9060-6

zbMATH Keywords

\(q\)-seriestransformationBailey paircharacteristic equationsummationBailey's lemmaBailey chainBailey treewell-poised

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (13)

General multi-sum transformations and some implications ⋮ \(q\)-Gosper algorithm and simple Bailey pairs ⋮ \(U(n+1)\) WP-Bailey tree ⋮ A new transformation formula involving derived WP-bailey pair and its applications ⋮ Some new transformations for Bailey pairs and WP-Bailey pairs ⋮ A reciprocity relation for WP-Bailey pairs ⋮ Constructive extensions of three summation formulas for \(q\)-series and their applications to bailey pairs ⋮ General WP-Bailey chains ⋮ A \(U(n + 1)\) Bailey lattice ⋮ A \(U(n+1)\) WP-Bailey lattice and its applications ⋮ The \(C_n\) WP-Bailey chain ⋮ Some implications of the WP-Bailey tree ⋮ CERTAIN NEW WP-BAILEY PAIRS AND BASIC HYPERGEOMETRIC SERIES IDENTITIES

Cites Work

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• Some inverse relations
• Extensions of the well-poised and elliptic well-poised Bailey lemma
• A Bailey tree for integrals
• 50 Years of Bailey's lemma
• Some identities for terminating q-series
• Quadratic Transformation Formulas for Basic Hypergeometric Series
• The WP-Bailey Tree and its Implications
• A new matrix inverse
• An extension of Warnaar’s matrix inversion
• Some Identities in Combinatory Analysis
• Change of base in Bailey pairs

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