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
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200006
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Sumario: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].