Padé approximant related to the Wallis formula

Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish a more accurate formula for approximating π, which...

Descripción completa

Detalles Bibliográficos
Autores principales: Lin, Long, Ma, Wen-Cheng, Chen, Chao-Ping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487953/
https://www.ncbi.nlm.nih.gov/pubmed/28680235
http://dx.doi.org/10.1186/s13660-017-1406-z
_version_ 1783246556815687680
author Lin, Long
Ma, Wen-Cheng
Chen, Chao-Ping
author_facet Lin, Long
Ma, Wen-Cheng
Chen, Chao-Ping
author_sort Lin, Long
collection PubMed
description Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish a more accurate formula for approximating π, which refines some known results.
format Online
Article
Text
id pubmed-5487953
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-54879532017-07-03 Padé approximant related to the Wallis formula Lin, Long Ma, Wen-Cheng Chen, Chao-Ping J Inequal Appl Research Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish a more accurate formula for approximating π, which refines some known results. Springer International Publishing 2017-06-08 2017 /pmc/articles/PMC5487953/ /pubmed/28680235 http://dx.doi.org/10.1186/s13660-017-1406-z Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Lin, Long
Ma, Wen-Cheng
Chen, Chao-Ping
Padé approximant related to the Wallis formula
title Padé approximant related to the Wallis formula
title_full Padé approximant related to the Wallis formula
title_fullStr Padé approximant related to the Wallis formula
title_full_unstemmed Padé approximant related to the Wallis formula
title_short Padé approximant related to the Wallis formula
title_sort padé approximant related to the wallis formula
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487953/
https://www.ncbi.nlm.nih.gov/pubmed/28680235
http://dx.doi.org/10.1186/s13660-017-1406-z
work_keys_str_mv AT linlong padeapproximantrelatedtothewallisformula
AT mawencheng padeapproximantrelatedtothewallisformula
AT chenchaoping padeapproximantrelatedtothewallisformula

Ejemplares similares