A bijective proof of a limiting case of Watson's \(_8\phi_7\) transformation formula

DOI10.1007/s11139-008-9125-1zbMath1181.11072OpenAlexW1977654429WikidataQ114223587 ScholiaQ114223587MaRDI QIDQ1039650

Ae Ja Yee, Michael Jason Rowell

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11139-008-9125-1

zbMATH Keywords

\(q\)-identitybasic hypergeometric seriesRogers-Fine identitypartition bijections

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (1)

Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities

Cites Work

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• A new four parameter \(q\)-series identity and its partition implications
• The \(q\)-variations of Sylvester's bijection between odd and strict partitions
• A combinatorial proof of the Rogers--Ramanujan and Schur identities
• Two theorems of Gauss and allied identities proved arithmetically
• A NEW COMBINATORIAL STUDY OF THE ROGERS–FINE IDENTITY AND A RELATED PARTIAL THETA SERIES
• Overpartitions
• On Identities Arising from Solutions of q-Difference Equations and Some Interpretations in Number Theory

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