Multiple Generalizations of q-Series Identities and Related Formulas

DOI10.1007/978-1-4614-0028-8_11zbMath1246.33008OpenAlexW42201762MaRDI QIDQ2897235

Yasushi Kajihara

Publication date: 10 July 2012

Published in: Partitions, q-Series, and Modular Forms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0028-8_11

zbMATH Keywords

multivariate basic hypergeometric series\(q\)-series transformationsRamanujan's notebookpartition function identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions associated with root systems (33D67) Hypergeometric functions associated with root systems (33C67) Applications of basic hypergeometric functions (33D90)

Related Items (1)

Heine's method and \(A_{n}\) to \(A_{m}\) transformation formulas

Cites Work

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• An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
• A note on a generalization of a q-series transformation of Ramanujan
• A q-analog of the Gauss summation theorem for hypergeometric series in U(n)
• Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
• Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
• Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications
• Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma
• On the q-analog of Kummer's theorem and applications
• Fermionic expressions for minimal model Virasoro characters
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• Summations and Transformations for Basic Appell Series

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