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Combinatorial proofs of identities in basic hypergeometric series

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Publication:925039
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DOI10.1016/J.EJC.2005.01.012zbMath1228.05066OpenAlexW2013906623MaRDI QIDQ925039

Ae Ja Yee

Publication date: 29 May 2008

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2005.01.012



Mathematics Subject Classification ID

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





Cites Work

  • Identities in combinatorics. III: Further aspects of ordered set sorting
  • A bijective proof of the q-Saalschütz theorem
  • Bijective proofs of basic hypergeometric series identities
  • A \(q\)-Foata proof of the \(q\)-Saalschütz identity
  • Particle seas and basic hypergeometric series.
  • Combinatorial proofs of Ramanujan's \(_{1} \psi_{1}\) summation and the \(q\)-Gauss summation.
  • Frobenius partitions and the combinatorics of Ramanujan's \(_{1}\psi_{1}\) summation
  • Overpartitions
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