A summation formula and Ramanujan type series
type: Item
instance of: scholarly article
title: A summation formula and Ramanujan type series
zbMATH Open document ID: 1273.33007
author: Zhi-Guo Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-03-16T00:00:00Z
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 11Y60
zbMATH DE Number: 6015267
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: Dougall's \(_5F_4\) summation
zbMATH Keywords: gamma function
zbMATH Keywords: Ramanujan type series
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.12.048
OpenAlex ID: W2063506711
cites work: Q4222737
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cites work: Class number three Ramanujan type series for \(1/\pi\)
cites work: Q3476890
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cites work: The Rogers-Ramanujan continued fraction and a quintic iteration for $1/\pi$
cites work: RAMANUJAN'S CLASS INVARIANT λn AND A NEW CLASS OF SERIES FOR 1/π
cites work: Ramanujan's cubic continued fraction revisited
cites work: The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\)
cites work: NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
cites work: \(\pi \)-formulas implied by Dougall's summation theorem for \(_{5} F _{4}\)-series
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cites work: Q3791207
cites work: Series and iterations for 1/π
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cites work: Using Fourier-Legendre expansions to derive series for \(\frac{1}{\pi}\) and \(\frac{1}{\pi^{2}}\)
cites work: GAUSS SUMMATION AND RAMANUJAN-TYPE SERIES FOR 1/π
cites work: New \(_{5}F_{4}\) hypergeometric transformations, three-variable Mahler measures, and formulas for \(1/ \pi \)
cites work: Q3955832
cites work: More Ramanujan-type formulae for $ 1/\pi^2$
DOI: 10.1016/J.JMAA.2011.12.048
description: scientific article; zbMATH DE number 6015267