Proof of Andrews' conjecture on a4φ3summation

DOI10.1080/10236198.2012.716048zbMath1272.33017arXiv1012.2545OpenAlexW1590822175WikidataQ123160076 ScholiaQ123160076MaRDI QIDQ5301075

Victor J. W. Guo

Publication date: 2 July 2013

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

Full work available at URL: https://arxiv.org/abs/1012.2545

zbMATH Keywords

basic hypergeometric seriesCatalan numbersAndrews' conjecture\(_4\phi_3\) summation

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On Shapiro's Catalan convolution
• Elementary proofs of some \(q\)-identities of Jackson and Andrews--Jain
• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• Short proofs of summation and transformation formulas for basic hypergeometric series
• Algorithms for \(q\)-hypergeometric summation in computer algebra

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