The \(t\)-coefficient method to partial theta function identities and Ramanujan's \(_1 \psi_1\) summation formula

DOI10.1016/j.jmaa.2012.07.010zbMath1277.33017OpenAlexW2068710216MaRDI QIDQ714100

Xin Rong Ma

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.010

zbMATH Keywords

transformationsummationtriple product identityRamanujanpartial theta function

Mathematics Subject Classification ID

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

Related Items (5)

Partial theta function identities from Wang and Ma's conjecture ⋮ Unnamed Item ⋮ The \(t\)-coefficient method. III: A general series expansion for the product of theta functions with different bases and its applications. ⋮ On the Andrews-Warnaar identities for partial theta functions ⋮ An extension of the Andrews-Warnaar partial theta function identity

Cites Work

• Ramanujan's ``lost notebook. I: Partial Theta-functions
• New polynomial analogues of Jacobi's triple product and Lebesgue's identities
• The product of partial theta functions
• q-identities of Auluck, Carlitz, and Rogers
• Partial Theta Functions. I. Beyond the Lost Notebook
• Generalizations of Ramanujan's reciprocity theorem and their applications
• Ramanujan's Lost Notebook
• Unnamed Item
• Unnamed Item
• Unnamed Item

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