Some new identities of Rogers-Ramanujan type

DOI10.1007/s10473-024-0106-2OpenAlexW4389108937MaRDI QIDQ6184299

Zhizheng Zhang, Jing Gu

Publication date: 5 January 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-024-0106-2

zbMATH Keywords

\(q\)-seriesRogers-Ramanujan type identitiesCarlitz's inversion

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

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• Some basic hypergeometric transformations and Rogers–Ramanujan type identities
• ON q-ANALOG OF HUMMER'S THEOREM AND ITS CONTIGUOUS RESULTS
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• Some Identities in Combinatory Analysis
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type
• The basic analogue of Kummer’s theorem
• A NOTE ON CERTAIN q-IDENTITIES

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