On Stirling's formula remainder

DOI10.1016/j.amc.2014.09.012zbMath1338.33004OpenAlexW2077303079MaRDI QIDQ297761

Long Lin

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.012

zbMATH Keywords

gamma functionestimatesStirling's formulapsi functioncompletely monotonic functionsremainder in the Stirling formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Sharp inequalities and asymptotic expansions for the gamma function ⋮ Inequalities and asymptotic expansions for the gamma function related to Mortici's formula ⋮ 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 psi function and the Euler-Mascheroni constant

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