Summation formulae for \(q\)-Watson type \(4\phi 3\)-series

DOI10.1016/J.DISC.2013.04.003zbMath1279.05005arXiv1112.2323OpenAlexW2581047913MaRDI QIDQ389196

Chuanan Wei, Jianbo Li, Dian Xuan Gong

Publication date: 17 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2323

zbMATH Keywords

basic hypergeometric seriessummation formulae for \(q\)-Watson type \(4\phi 3\)-seriesterminating \(6\phi 5\)-series identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions (33D99)

Related Items (2)

Watson-type₃F₂-series and summation formulae involving generalized harmonic numbers ⋮ A NEW -ANALOGUE OF VAN HAMME’S (A.2) SUPERCONGRUENCE

Cites Work

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• Elementary proofs of some \(q\)-identities of Jackson and Andrews--Jain
• Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
• Some Summation Formulas for the Series 3 F 2 (1)
• Some Transformations of Basic Hypergeometric Functions. Part II
• On q-Analogues of the Watson and Whipple Summations
• Abel’s method on summation by parts and balanced q-series identities

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