Mock theta functions in terms of q-hypergeometric double sums

DOI10.1142/S1793042118501051zbMath1400.33028OpenAlexW2772099647MaRDI QIDQ3174677

Xiaoqian Li, Zhizheng Zhang

Publication date: 17 July 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042118501051

zbMATH Keywords

mock theta functionsBailey pair\(q\)-hypergeometric double sums

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (4)

New mock theta functions and formulas for basic hypergeometric series ⋮ The research and progress of the enumeration of lattice paths ⋮ Unnamed Item ⋮ Some further Hecke-type identities

Cites Work

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• \(q\)-hypergeometric double sums as mock theta functions
• Multiple series Rogers-Ramanujan type identities
• Lifting Bailey pairs to WP-Bailey pairs
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• 50 Years of Bailey's lemma
• A Survey of Classical Mock Theta Functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• MOCK THETA DOUBLE SUMS
• Multiplicative $q$-hypergeometric series arising from real quadratic fields
• The Fifth and Seventh Order Mock Theta Functions
• Some Eighth Order Mock Theta Functions
• A New Proof of Rogers's Transformations of Infinite Series

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