Expansions of averaged truncations of basic hypergeometric series

DOI10.1090/PROC/16775MaRDI QIDQ6621280

Nian Hong Zhou, Michael J. Schlosser

Publication date: 18 October 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

partitionscombinatorial inequalitiesbasic hypergeometric seriesaveraged truncations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
• Bilateral truncated Jacobi's identity
• Truncated theta series and a problem of Guo and Zeng
• Two truncated identities of Gauss
• Truncated Jacobi triple product series
• On the difference of partial theta functions
• New truncated theorems for three classical theta function identities
• Infinite families of Hecke-Rogers type series and their truncated representations
• Truncated Hecke-Rogers type series
• The product of partial theta functions
• Partial Theta Functions. I. Beyond the Lost Notebook
• Overpartitions
• Truncated versions of three identities of Euler and Gauss

Related Items (2)

Proofs of some conjectures of Merca on truncated series involving the Rogers-Ramanujan functions ⋮ A conjecture of Merca on nonnegativity of theta series

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