SUMS OF PARTIAL THETA FUNCTIONS THROUGH AN EXTENDED BAILEY TRANSFORM

DOI10.1017/S0004972720000453zbMath1456.05017OpenAlexW3025624853MaRDI QIDQ5147576

Mohamed El Bachraoui

Publication date: 27 January 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720000453

zbMATH Keywords

\(q\)-seriesbasic hypergeometric seriespartial theta functionsBailey transform

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Some new \(q\)-series identities through an extended Bailey transform

Cites Work

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• Multiple series Rogers-Ramanujan type identities
• Ramanujan's ``lost notebook. I: Partial Theta-functions
• Ramanujan-type partial theta identities and conjugate Bailey pairs. II: Multisums
• On the Andrews-Warnaar identities for partial theta functions
• Ramanujan-type partial theta identities and conjugate Bailey pairs
• An extension of the Andrews-Warnaar partial theta function identity
• The product of partial theta functions
• Some divisibility properties of binomial and \(q\)-binomial coefficients
• Some identities for terminating q-series
• Partial Theta Functions. I. Beyond the Lost Notebook
• Identities of the Rogers-Ramanujan Type
• Some Identities in Combinatory Analysis
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type