Contiguous relations and summation and transformation formulae for basic hypergeometric series

DOI10.1080/10236198.2013.798657zbMath1280.33015arXiv1304.5830OpenAlexW2041294302MaRDI QIDQ2869924

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Publication date: 7 January 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5830

zbMATH Keywords

basic hypergeometric seriesSylvester's identitycontiguous relations\(q\)-shifted factorial

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

Contiguous Relations and Creative Telescoping

Cites Work

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• Elementary proofs of some \(q\)-identities of Jackson and Andrews--Jain
• Finite form of the quintuple product identity
• Short proofs of summation and transformation formulas for basic hypergeometric series
• \(q\)-differential operator identities and applications
• Some operator identities and \(q\)-series transformation formulas
• Algorithms for \(q\)-hypergeometric summation in computer algebra
• Abel's lemma on summation by parts and basic hypergeometric series
• Some formulas of F. H. Jackson
• Abel's method on summation by parts and terminating well-poised \(q\)-series identities
• THE BAILEY TRANSFORM AND D.B. SEARS
• A new matrix inverse
• Generalizations of Ramanujan's reciprocity theorem and their applications
• Transformations of Basic Hypergeometric Functions of Special Type
• On the Transformation Theory of Basic Hypergeometric Functions
• A NOTE ON CERTAIN q-IDENTITIES

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