An approximation formula for n!

We prove the following very accurate approximation formula for the factorial function: <img src="http:/fbpe/img/proy/v32n2/art6.1.jpg" name="_x0000_i1029" width=383 height=46 id="_x0000_i1029"> This gives better results than the following approximation formula <...

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Autor principal:	Batir,Necdet
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2013
Materias:	Gamma function Stirling formula Euler-Mascheroni constant harmonic numbers inequalities digamma function
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200006
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spelling	oai:scielo:S0716-091720130002000062013-06-26An approximation formula for n!Batir,Necdet Gamma function Stirling formula Euler-Mascheroni constant harmonic numbers inequalities digamma function We prove the following very accurate approximation formula for the factorial function: <img src="http:/fbpe/img/proy/v32n2/art6.1.jpg" name="_x0000_i1029" width=383 height=46 id="_x0000_i1029"> This gives better results than the following approximation formula <img src="http:/fbpe/img/proy/v32n2/art6.2.jpg" name="_x0000_i1028" width=455 height=49 id="_x0000_i1028"> which is established by the author [5] and C. Mortici [16] independently, and gives similar results with <img src="http:/fbpe/img/proy/v32n2/art6.3.jpg" name="_x0000_i1027" width=369 height=48 id="_x0000_i1027"> which is established by C. Mortici in his very new paper [8].info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.2 20132013-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200006en10.4067/S0716-09172013000200006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Gamma function Stirling formula Euler-Mascheroni constant harmonic numbers inequalities digamma function
spellingShingle	Gamma function Stirling formula Euler-Mascheroni constant harmonic numbers inequalities digamma function Batir,Necdet An approximation formula for n!
description	We prove the following very accurate approximation formula for the factorial function: <img src="http:/fbpe/img/proy/v32n2/art6.1.jpg" name="_x0000_i1029" width=383 height=46 id="_x0000_i1029"> This gives better results than the following approximation formula <img src="http:/fbpe/img/proy/v32n2/art6.2.jpg" name="_x0000_i1028" width=455 height=49 id="_x0000_i1028"> which is established by the author [5] and C. Mortici [16] independently, and gives similar results with <img src="http:/fbpe/img/proy/v32n2/art6.3.jpg" name="_x0000_i1027" width=369 height=48 id="_x0000_i1027"> which is established by C. Mortici in his very new paper [8].
author	Batir,Necdet
author_facet	Batir,Necdet
author_sort	Batir,Necdet
title	An approximation formula for n!
title_short	An approximation formula for n!
title_full	An approximation formula for n!
title_fullStr	An approximation formula for n!
title_full_unstemmed	An approximation formula for n!
title_sort	approximation formula for n!
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200006
work_keys_str_mv	AT batirnecdet anapproximationformulaforn AT batirnecdet approximationformulaforn
_version_	1718439790346502144

An approximation formula for n!

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