A new proof of the septuple product identity

DOI10.1016/j.disc.2008.04.029zbMath1206.05023OpenAlexW1993487552MaRDI QIDQ1025532

Qinglun Yan

Publication date: 19 June 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.04.029

zbMATH Keywords

Jacobi's triple product identitythe septuple product identity

Mathematics Subject Classification ID

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

Cites Work

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• Unification of the quintuple and septuple product identities
• The triple, quintuple and setuple product identities revisited
• Uniform proofs of \(q\)-series-product identities
• On a septuple product identity
• On the quintuple product identity
• ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES
• A generalization of the Hirschhorn-Farkas-Kra septagonal numbers identity