Inequalities for the gamma function
type: Item
instance of: scholarly article
title: Inequalities for the gamma function
zbMATH Open document ID: 1165.33001
author: Necdet Batir
published in: Archiv der Mathematik
publication date: 2009-01-30T00:00:00Z
review text: The author proves some sharp upper and lower bounds for the gamma function at positive real \(x\) and presents some Stirling-type formulas for \(n!\) which refine and improve the classical Stirling approximation \(\Gamma(n+1)=n!\sim n^ne^{-n}\sqrt{2\pi n}.\)
reviewed by: T. Hessami Pilehrood
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 26D07
zbMATH DE Number: 5500893
zbMATH Keywords: Gamma function
zbMATH Keywords: Stirling formula
zbMATH Keywords: Burnside's formula
zbMATH Keywords: digamma function
zbMATH Keywords: harmonic number
zbMATH Keywords: inequality
MaRDI profile type: Publication
full work available at URL: s00013-008-2856-9
OpenAlex ID: W2122401230
DOI: 10.1007/S00013-008-2856-9
description: scientific article; zbMATH DE number 5500893