Some new representations of Hikami’s second-order mock theta function D5(q)

DOI10.3906/mat-2106-12zbMath1496.11065OpenAlexW3200937460MaRDI QIDQ5099156

Qiuxia Hu

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2106-12

zbMATH Keywords

\(q\)-hypergeometric seriesAppell-Lerch sumsdual naturesecond-order mock theta function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27)

Uses Software

• SumTools

Cites Work

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• Mock theta function identities deriving from bilateral basic hypergeometric series
• A mock theta function of second order
• Mock (false) theta functions as quantum invariants
• Transformation formula of the ``second order mock theta function
• A Survey of Classical Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• On the dual nature theory of bilateral series associated to mock theta functions
• A continued fraction of Ramanujan and some Ramanujan-Weber class invariants
• Third-order mock theta functions
• Second Order Mock Theta Functions
• The Final Problem : An Account of the Mock Theta Functions
• Quantum calculus

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