Dougall's \(_5F_4\) sum and the WZ algorithm

DOI10.1007/s11139-018-9998-6zbMath1393.33009arXiv1611.04385OpenAlexW3121912519MaRDI QIDQ1656804

Jesús Guillera

Publication date: 10 August 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04385

zbMATH Keywords

generalized hypergeometric seriesevaluation of constantsDougall's sumRamanujan-type seriesWZ algorithm

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (5)

Infinite series identities derived from the very well-poised \(\Omega\)-sum ⋮ From Wallis and Forsyth to Ramanujan ⋮ ON GUILLERA’S -SERIES FOR ⋮ Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations ⋮ q-Analogues of Guillera’s two series for π±2 with convergence rate 27 64

Cites Work

• Unnamed Item
• Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $
• Rational Functions Certify Combinatorial Identities

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