SHARP INEQUALITIES FOR FACTORIAL n

Let n be a positive integer. We prove <img border=0 width=439 height=83 src="../img/formula1.jpg"> with the best possible constants <img border=0 width=735 height=42 src="../img/formula2.jpg"> This refines and extends a result of Sandor and Debnath, who proved that th...

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Autor principal: BATIR,NECDET
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2008
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100006
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spelling oai:scielo:S0716-091720080001000062008-05-22SHARP INEQUALITIES FOR FACTORIAL nBATIR,NECDET Factorial n gamma function Stirling’s formula Burnside’s formula Let n be a positive integer. We prove <img border=0 width=439 height=83 src="../img/formula1.jpg"> with the best possible constants <img border=0 width=735 height=42 src="../img/formula2.jpg"> This refines and extends a result of Sandor and Debnath, who proved that the double inequality holds with a = 0 and ß = 1info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.27 n.1 20082008-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100006en10.4067/S0716-09172008000100006
institution Scielo Chile
collection Scielo Chile
language English
topic Factorial n
gamma function
Stirling’s formula
Burnside’s formula
spellingShingle Factorial n
gamma function
Stirling’s formula
Burnside’s formula
BATIR,NECDET
SHARP INEQUALITIES FOR FACTORIAL n
description Let n be a positive integer. We prove <img border=0 width=439 height=83 src="../img/formula1.jpg"> with the best possible constants <img border=0 width=735 height=42 src="../img/formula2.jpg"> This refines and extends a result of Sandor and Debnath, who proved that the double inequality holds with a = 0 and ß = 1
author BATIR,NECDET
author_facet BATIR,NECDET
author_sort BATIR,NECDET
title SHARP INEQUALITIES FOR FACTORIAL n
title_short SHARP INEQUALITIES FOR FACTORIAL n
title_full SHARP INEQUALITIES FOR FACTORIAL n
title_fullStr SHARP INEQUALITIES FOR FACTORIAL n
title_full_unstemmed SHARP INEQUALITIES FOR FACTORIAL n
title_sort sharp inequalities for factorial n
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2008
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000100006
work_keys_str_mv AT batirnecdet sharpinequalitiesforfactorialn
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