Extensions of the well-poised and elliptic well-poised Bailey lemma

DOI10.1016/S0019-3577(03)90061-9zbMath1054.33013arXivmath/0309241WikidataQ124840509 ScholiaQ124840509MaRDI QIDQ1432910

S. Ole Warnaar

Publication date: 22 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309241

zbMATH Keywords

basic hypergeometric serieselliptic hyper-geometric seriesWell-poised Bailey lemma

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elliptic functions and integrals (33E05)

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Cites Work

• Multiple series Rogers-Ramanujan type identities
• Elliptic beta integrals and modular hypergeometric sums: An overview.
• Elliptic hypergeometric series on root systems.
• Elliptic U(2) quantum group and elliptic hypergeometric series
• Modular hypergeometric residue sums of elliptic Selberg integrals
• Summation and transformation formulas for elliptic hypergeometric series.
• 50 Years of Bailey's lemma
• Some identities for terminating q-series
• On the q-Analogues of Some Transformations of Nearly-Poised Hypergeometric Series
• The WP-Bailey Tree and its Implications
• Identities of the Rogers-Ramanujan Type
• An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
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