Sharp bounds for gamma function in terms of \(x^{x - 1}\)

DOI10.1016/J.AMC.2014.10.027zbMath1338.33007OpenAlexW2054460123MaRDI QIDQ298596

Cristinel Mortici

Publication date: 21 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.2014.10.027

zbMATH Keywords

gamma functioninequalitiesapproximationsasymptotic seriesseriescomplete monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Inequalities involving other types of functions (26D07)

Cites Work

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• Topics in Special Functions III
• A monotoneity property of the gamma function
• Inequalities for the gamma function
• On some inequalities for the gamma and psi functions

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