Padé approximant related to asymptotics for the gamma function

Based on the Padé approximation method, we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new bounds for the gamma function.

Detalles Bibliográficos
Autores principales: Li, Xin, 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/PMC5331117/
https://www.ncbi.nlm.nih.gov/pubmed/28303079
http://dx.doi.org/10.1186/s13660-017-1315-1
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author Li, Xin
Chen, Chao-Ping
author_facet Li, Xin
Chen, Chao-Ping
author_sort Li, Xin
collection PubMed
description Based on the Padé approximation method, we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new bounds for the gamma function.
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spelling pubmed-53311172017-03-14 Padé approximant related to asymptotics for the gamma function Li, Xin Chen, Chao-Ping J Inequal Appl Research Based on the Padé approximation method, we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text] ) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new bounds for the gamma function. Springer International Publishing 2017-02-28 2017 /pmc/articles/PMC5331117/ /pubmed/28303079 http://dx.doi.org/10.1186/s13660-017-1315-1 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
Li, Xin
Chen, Chao-Ping
Padé approximant related to asymptotics for the gamma function
title Padé approximant related to asymptotics for the gamma function
title_full Padé approximant related to asymptotics for the gamma function
title_fullStr Padé approximant related to asymptotics for the gamma function
title_full_unstemmed Padé approximant related to asymptotics for the gamma function
title_short Padé approximant related to asymptotics for the gamma function
title_sort padé approximant related to asymptotics for the gamma function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5331117/
https://www.ncbi.nlm.nih.gov/pubmed/28303079
http://dx.doi.org/10.1186/s13660-017-1315-1
work_keys_str_mv AT lixin padeapproximantrelatedtoasymptoticsforthegammafunction
AT chenchaoping padeapproximantrelatedtoasymptoticsforthegammafunction

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