On the monotonicity and convexity of the remainder of the Stirling formula

DOI10.1016/J.AML.2010.12.034zbMath1216.33008OpenAlexW2058968019MaRDI QIDQ2430040

Cristinel Mortici

Publication date: 5 April 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.034

zbMATH Keywords

gamma and polygamma functionscomplete monotonicityStirling formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (7)

Complete characterizations of the gamma function ⋮ On Stirling's formula remainder ⋮ Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Unnamed Item ⋮ Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ A note on complete monotonicity of the remainder in Stirling's formula

Cites Work

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• The proof of Muqattash-Yahdi conjecture
• A class of integral approximations for the factorial function
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• Inequalities for the gamma and polygamma functions
• A new asymptotic series for the gamma function
• Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
• Very accurate estimates of the polygamma functions
• Some Gamma Function Inequalities
• On some inequalities for the gamma and psi functions
• What is the Laplace Transform?

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