Further generalizations of some Hecke-type identities

DOI10.1142/S1793042122500221zbMath1489.11163OpenAlexW3194234283MaRDI QIDQ5061565

Helen W. J. Zhang

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1142/s1793042122500221

zbMATH Keywords

\(q\)-seriesBailey pairpartial theta functionbailey transformHecke-type identity

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (2)

A multiple \(q\)-exponential differential operational identity ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The truncated pentagonal number theorem
• Multiple series Rogers-Ramanujan type identities
• A proof of the mock theta conjectures
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants
• An expansion formula for \(q\)-series and applications
• A \(q\)-series expansion formula and the Askey-Wilson polynomials
• Truncated Jacobi triple product series
• Truncated Hecke-Rogers type series
• ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS
• On the $q$-partial differential equations and $q$-series
• Hecke Modular Forms and the KAC-Peterson Identities
• The Fifth and Seventh Order Mock Theta Functions
• Overpartitions
• Some further Hecke-type identities
• Some q-transformation formulas and Hecke type identities
• Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions
• Identities of the Rogers-Ramanujan Type

This page was built for publication: Further generalizations of some Hecke-type identities