BILATERAL BAILEY LEMMA AND FALSE THETA FUNCTIONS

DOI10.1142/S179304211000306XzbMath1194.33015WikidataQ124850214 ScholiaQ124850214MaRDI QIDQ3566637

Chu, Wenchang, Wenlong Zhang

Publication date: 8 June 2010

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

zbMATH Keywords

false theta functions\(q\)-series transformationsbilateral Bailey lemma

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

New proofs of Ramanujan's identities on false theta functions ⋮ A \(U(n + 1)\) Bailey lattice ⋮ Hecke-Rogers double-sums and false theta functions ⋮ A bijective proof of a false theta function identity from Ramanujan's lost notebook

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
• Multiple series Rogers-Ramanujan type identities
• Partial theta function expansions
• Ramanujan-Slater type identities related to the moduli 18 and 24
• A new general conjugate Bailey pair
• Bilateral Bailey lemma and Rogers-Ramanujan identities
• Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
• Ramanujan's ``lost notebook. I: Partial Theta-functions
• Ramanujan's ``lost notebook. II: Theta-function expansions
• Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions
• Umbral calculus, Bailey chains, and pentagonal number theorems
• Lambert series, false theta functions, and partitions
• The product of partial theta functions
• Mock (false) theta functions as quantum invariants
• Non-unitary minimal models, Bailey's lemma and \(N=1,2\) superconformal algebras
• The Bailey transform and false theta functions
• IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE
• An Introduction to Ramanujan's "lost" Notebook
• An A₂ Bailey lemma and Rogers-Ramanujan-type identities
• Partial Theta Functions. I. Beyond the Lost Notebook
• A Bailey lattice
• The WP-Bailey Tree and its Implications
• Ramanujan's Lost Notebook
• ON THE ANALOGUE OF DIXON'S THEOREM FOR BILATERAL BASIC HYPERGEOMETRIC SERIES
• On identities of the Rogers-Ramanujan type