The basic bilateral hypergeometric series and the mock theta functions
From MaRDI portal
Publication:539129
DOI10.1007/s11139-010-9269-7zbMath1225.33019OpenAlexW2000643814MaRDI QIDQ539129
Publication date: 27 May 2011
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-010-9269-7
Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric functions (33D99)
Related Items
Higher depth mock theta functions and \(q\)-hypergeometric series, Bilateral series in terms of mixed mock modular forms, Congruences for partition functions related to mock theta functions, Generalizations of the Andrews-Yee identities associated with the mock theta functions \(\omega (q)\) and \(\nu (q)\), Concave and convex compositions, Ramanujan’s fifth order and tenth order mock theta functions - a generalization, Three-parameter mock theta functions, Unnamed Item, Some new representations of Hikami’s second-order mock theta function D5(q), A generalization of Zwegers' \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation, Generalizations of mock theta functions and Appell-Lerch sums, Some identities of certain basic hypergeometric series and their applications to mock theta functions, Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\), ON GENERALIZED EIGHTH ORDER MOCK THETA FUNCTIONS, Partition identities from third and sixth order mock theta functions, Mock modular forms and \(d\)-distinct partitions, Combinatorial proofs for identities related to generalizations of the mock theta functions \(\omega (q)\) and \(\nu (q)\), Mock and mixed mock modular forms in the lower half-plane, On the mock-theta behavior of Appell-Lerch series, On generalizations of theorems involving the third-order mock theta functions, Third-order mock theta functions, On the Andrews-Yee identities associated with mock theta functions, Properties of the Appell-Lerch function (I), Peak positions of strongly unimodal sequences, BPS indices, modularity and perturbations in quantum K-theory, MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Survey of Classical Mock Theta Functions
- Eulerian series as modular forms
- Mock Jacobi forms in basic hypergeometric series
- Ramanujan's Lost Notebook
- ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (I)
- The Final Problem : An Account of the Mock Theta Functions
- The Mock Theta Functions (2)
- Identities of the Rogers-Ramanujan Type
- ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES 2ψ2
- A New Proof of Rogers's Transformations of Infinite Series
- On the Transformation Theory of Basic Hypergeometric Functions
- Tenth order mock theta functions in Ramanujan's lost notebook. II