An extension of the Andrews-Warnaar partial theta function identity

DOI10.1016/j.aam.2019.101985zbMath1446.11071arXiv1907.08353OpenAlexW2995997872WikidataQ126535120 ScholiaQ126535120MaRDI QIDQ2300580

Lisa Hui Sun

Publication date: 27 February 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08353

zbMATH Keywords

partial theta functionsfalse theta functionsbig \(q\)-Jacobi polynomials

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

SUMS OF PARTIAL THETA FUNCTIONS THROUGH AN EXTENDED BAILEY TRANSFORM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The tail of a quantum spin network
• A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan
• Ramanujan's partial theta series and parity in partitions
• The \(t\)-coefficient method to partial theta function identities and Ramanujan's \(_1 \psi_1\) summation formula
• Multiple series Rogers-Ramanujan type identities
• A partial theta identity of Ramanujan and its number-theoretic interpretation
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• Ramanujan's ``lost notebook. I: Partial Theta-functions
• Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
• Ramanujan-type partial theta identities and conjugate Bailey pairs. II: Multisums
• On the Andrews-Warnaar identities for partial theta functions
• Ramanujan-type partial theta identities and conjugate Bailey pairs
• New proofs of Ramanujan's identities on false theta functions
• On the difference of partial theta functions
• A \(q\)-summation formula, the continuous \(q\)-Hahn polynomials and the big \(q\)-Jacobi polynomials
• The product of partial theta functions
• The Bailey transform and false theta functions
• PARTIAL INDEFINITE THETA IDENTITIES
• 𝒲-Algebras, False Theta Functions and Quantum Modular Forms, I
• Partial Theta Functions. I. Beyond the Lost Notebook
• Partial theta function identities from Wang and Ma's conjecture
• Generalizations of Ramanujan's reciprocity theorem and their applications
• Ramanujan's Lost Notebook
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

This page was built for publication: An extension of the Andrews-Warnaar partial theta function identity