Bounds for the logarithm of the Euler gamma function and its derivatives

DOI10.1016/j.jmaa.2015.08.034zbMath1331.33002arXiv1508.03267OpenAlexW2963816693MaRDI QIDQ499186

Harold G. Diamond, Armin Straub

Publication date: 30 September 2015

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

Full work available at URL: https://arxiv.org/abs/1508.03267

zbMATH Keywords

gamma functioninequalitiesasymptotic expansionBernoulli polynomialspsi functioncomplete monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (1)

On the nonoscillatory phase function for Legendre's differential equation

Cites Work

• The special functions and their approximations. Vol. I, II
• Sharp inequalities for the digamma and polygamma functions
• A Stochastic Approach to the Gamma Function
• On some inequalities for the gamma and psi functions
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