An accurate approximation formula for gamma function

In this paper, we present a very accurate approximation for the gamma function: [Formula: see text] as [Formula: see text] , and we prove that the function [Formula: see text] is strictly decreasing and convex from [Formula: see text] onto [Formula: see text] , where [Formula: see text]

Detalles Bibliográficos
Autores principales: Yang, Zhen-Hang, Tian, Jing-Feng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5840229/
https://www.ncbi.nlm.nih.gov/pubmed/29540975
http://dx.doi.org/10.1186/s13660-018-1646-6
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author Yang, Zhen-Hang
Tian, Jing-Feng
author_facet Yang, Zhen-Hang
Tian, Jing-Feng
author_sort Yang, Zhen-Hang
collection PubMed
description In this paper, we present a very accurate approximation for the gamma function: [Formula: see text] as [Formula: see text] , and we prove that the function [Formula: see text] is strictly decreasing and convex from [Formula: see text] onto [Formula: see text] , where [Formula: see text]
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spelling pubmed-58402292018-03-12 An accurate approximation formula for gamma function Yang, Zhen-Hang Tian, Jing-Feng J Inequal Appl Research In this paper, we present a very accurate approximation for the gamma function: [Formula: see text] as [Formula: see text] , and we prove that the function [Formula: see text] is strictly decreasing and convex from [Formula: see text] onto [Formula: see text] , where [Formula: see text] Springer International Publishing 2018-03-06 2018 /pmc/articles/PMC5840229/ /pubmed/29540975 http://dx.doi.org/10.1186/s13660-018-1646-6 Text en © The Author(s) 2018 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
Yang, Zhen-Hang
Tian, Jing-Feng
An accurate approximation formula for gamma function
title An accurate approximation formula for gamma function
title_full An accurate approximation formula for gamma function
title_fullStr An accurate approximation formula for gamma function
title_full_unstemmed An accurate approximation formula for gamma function
title_short An accurate approximation formula for gamma function
title_sort accurate approximation formula for gamma function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5840229/
https://www.ncbi.nlm.nih.gov/pubmed/29540975
http://dx.doi.org/10.1186/s13660-018-1646-6
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