Double series expansions for π

We use some properties of gamma functions and a summation formula for Kamp\'e de F\'eriet function $F_{1:1;1}^{0:3;3}$ to give many double series expansions for $1/\pi$ and $\pi$.

Bibliographic Details
Main Author:	Long Li
Format:	Article
Language:	English
Published:	AIMS Press 2021-03-01
Series:	AIMS Mathematics
Subjects:	gamma function double hypergeometric function double series expansions for π
Online Access:	http://www.aimspress.com/article/doi/10.3934/math.2021294?viewType=HTML

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spelling	doaj-39a82d898f234191833b2bc319b822462021-03-16T01:07:52ZengAIMS PressAIMS Mathematics2473-69882021-03-01655000500710.3934/math.2021294Double series expansions for πLong Li0School of Mathematics and Statistics, Huaiyin Normal University, Huai'an 223300, Jiangsu, People's Republic of ChinaWe use some properties of gamma functions and a summation formula for Kamp\'e de F\'eriet function $F_{1:1;1}^{0:3;3}$ to give many double series expansions for $1/\pi$ and $\pi$.http://www.aimspress.com/article/doi/10.3934/math.2021294?viewType=HTMLgamma functiondouble hypergeometric functiondouble series expansions for π
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Long Li
spellingShingle	Long Li Double series expansions for π AIMS Mathematics gamma function double hypergeometric function double series expansions for π
author_facet	Long Li
author_sort	Long Li
title	Double series expansions for π
title_short	Double series expansions for π
title_full	Double series expansions for π
title_fullStr	Double series expansions for π
title_full_unstemmed	Double series expansions for π
title_sort	double series expansions for π
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-03-01
description	We use some properties of gamma functions and a summation formula for Kamp\'e de F\'eriet function $F_{1:1;1}^{0:3;3}$ to give many double series expansions for $1/\pi$ and $\pi$.
topic	gamma function double hypergeometric function double series expansions for π
url	http://www.aimspress.com/article/doi/10.3934/math.2021294?viewType=HTML
work_keys_str_mv	AT longli doubleseriesexpansionsforp
_version_	1724220085215690752

Double series expansions for π

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