On generalizations of theorems involving the third-order mock theta functions

DOI10.1090/proc/14691zbMath1429.05020OpenAlexW2948380614WikidataQ127745238 ScholiaQ127745238MaRDI QIDQ5206193

Zhizheng Zhang, Qiuxia Hu

Publication date: 18 December 2019

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

Full work available at URL: https://doi.org/10.1090/proc/14691

zbMATH Keywords

mock theta functionstransformation of bilateral series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• On the modularity of the unified WRT invariants of certain Seifert manifolds
• The basic bilateral hypergeometric series and the mock theta functions
• \(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions
• Modular transformations of Ramanujan's fifth and seventh order mock theta functions
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
• On Ramanujan's Continued Fraction and Related Identities
• Shorter Notes: On Ramanujan's Summation of 1 ψ 1 (a; b; z)
• On a Transformation of Bilateral Series with Applications

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