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New upper bounds of \(n!\)

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Publication:368031
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DOI10.1186/1029-242X-2012-27zbMath1281.11107WikidataQ59292418 ScholiaQ59292418MaRDI QIDQ368031

Ravi P. Agarwal, Mansour Mahmoud, Mohammed Ali Alghamdi

Publication date: 17 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)


zbMATH Keywords

Riemann zeta functionBernoulli numbersspeed of convergenceStirling' formulaWallis' formula


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Hurwitz and Lerch zeta functions (11M35) Evaluation of number-theoretic constants (11Y60) Inequalities involving other types of functions (26D07)


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Some best approximation formulas and inequalities for the Wallis ratio, Topics in Special Functions III, Unified treatment of several asymptotic formulas for the gamma function, Sharp inequalities and asymptotic expansions for the gamma function, Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function, On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas, Padé approximant related to asymptotics for the gamma function, Inequalities and asymptotic expansions for the gamma function



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