Partial theta function identities from Wang and Ma's conjecture

DOI10.1080/10236198.2020.1751832zbMath1456.05018arXiv1805.01268OpenAlexW3017176437WikidataQ123284068 ScholiaQ123284068MaRDI QIDQ5137912

Chuanan Wei

Publication date: 3 December 2020

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01268

zbMATH Keywords

Jacobi triple product identitybasic hypergeometric seriespartial theta function identities

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

An extension of the Andrews-Warnaar partial theta function identity

Cites Work

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• The \(t\)-coefficient method to partial theta function identities and Ramanujan's \(_1 \psi_1\) summation formula
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• On the Andrews-Warnaar identities for partial theta functions
• Hardy-Petrovitch-Hutchinson's problem and partial theta function
• The product of partial theta functions
• Partial Theta Functions. I. Beyond the Lost Notebook
• On asymptotic formulas for certain $q$-series involving partial theta functions
• Ramanujan's Lost Notebook

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