\(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series
type: Item
instance of: scholarly article
title: \(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series
zbMATH Open document ID: 1242.33009
published in: The Ramanujan Journal
publication date: 2012-04-04T00:00:00Z
review text: The author shows that the general summation theorem for the \({}_5 F_4\) series discovered by \textit{J. Dougall} [Edinb. M. S. Proc. 25, 114--132 (1907; JFM 38.0313.01)] implies several infinite series of Ramanujan-type for \(1/\pi\) and \(1/\pi^2\).
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 40A25
Mathematics Subject Classification ID: 65B10
zbMATH DE Number: 6021894
zbMATH Keywords: Dougall's summation theorem for \({}_5F_4\)-series
zbMATH Keywords: \(\pi\)-series of Ramanujan-type
author: Wenchang Chu
reviewed by: Peter Massopust
MaRDI profile type: Publication
full work available at URL: s11139-010-9274-x
OpenAlex ID: W2476900594
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DOI: 10.1007/S11139-010-9274-X
description: scientific article; zbMATH DE number 6021894