On the Andrews-Warnaar identities for partial theta functions

DOI10.1016/j.aam.2018.02.002zbMath1384.05051OpenAlexW2792636817MaRDI QIDQ1745774

Jin Wang, Xin Rong Ma

Publication date: 18 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.aam.2018.02.002

zbMATH Keywords

transformationBailey pairsummationRamanujanpartial theta functionbivariate representationJacobi's triple productpartial theta function identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (5)

Products of two ₁ϕ₁ series and implications ⋮ Partial theta function identities from Wang and Ma's conjecture ⋮ Unnamed Item ⋮ SUMS OF PARTIAL THETA FUNCTIONS THROUGH AN EXTENDED BAILEY TRANSFORM ⋮ An extension of the Andrews-Warnaar partial theta function identity

Cites Work

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• On the double zeros of a partial theta function
• On multiple zeros of a partial theta function
• On a conjecture of B. Berndt and B. Kim
• On the zeros of a partial theta function
• The leading root of the partial theta function
• Some new asymptotic expansions of certain partial theta functions
• Asymptotics for \(q\)-expansions involving partial theta functions
• Parity in partition identities
• A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan
• Ramanujan's partial theta series and parity in partitions
• Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
• The \(t\)-coefficient method to partial theta function identities and Ramanujan's \(_1 \psi_1\) summation formula
• Asymptotics of the spectrum of partial theta function
• Ramanujan-type partial theta identities and rank differences for special unimodal sequences
• 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
• New polynomial analogues of Jacobi's triple product and Lebesgue's identities
• Ramanujan-type partial theta identities and conjugate Bailey pairs
• Partial theta functions and mock modular forms as \(q\)-hypergeometric series
• Hardy-Petrovitch-Hutchinson's problem and partial theta function
• On the difference of partial theta functions
• Universal mock theta functions and two-variable Hecke-Rogers identities
• The Bailey transform and Hecke-Rogers identities for the universal mock theta functions
• The product of partial theta functions
• 50 Years of Bailey's lemma
• Combinatorial proof of a partial theta function identity of Warnaar
• PARTIAL INDEFINITE THETA IDENTITIES
• Asymptotic expansions of certain partial theta functions
• Asymptotic expansions of zeros of a partial theta function
• COMBINATORIAL PROOFS OF CERTAIN IDENTITIES INVOLVING PARTIAL THETA FUNCTIONS
• Partial Theta Functions. I. Beyond the Lost Notebook
• A property of a partial theta function
• On asymptotic formulas for certain $q$-series involving partial theta functions
• Ramanujan's Lost Notebook

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