On the Andrews-Yee identities associated with mock theta functions

DOI10.1007/s00026-019-00462-7zbMath1439.11122OpenAlexW2984472461MaRDI QIDQ2299130

Jin Wang, Xin Rong Ma

Publication date: 20 February 2020

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-019-00462-7

zbMATH Keywords

mock theta functionsBailey pairWZ methodtransformation formulas

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (2)

Generalizations of the Andrews-Yee identities associated with the mock theta functions \(\omega (q)\) and \(\nu (q)\) ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

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• The basic bilateral hypergeometric series and the mock theta functions
• A novel extension of the Lagrange-Bürmann expansion formula
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Combinatorial proof of an identity of Andrews and Yee
• The product of partial theta functions
• Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\)
• The Bailey transform and false theta functions
• 50 Years of Bailey's lemma
• q-Analogues of Two Product Formulas of Hypergeometric Functions by Bailey
• Ramanujan's Lost Notebook
• ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (I)
• ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (II)
• Some Identities in Combinatory Analysis

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