The Monotonicity and Log-Behaviour of Some Functions Related to the Euler Gamma Function

DOI10.1017/S001309151600016XzbMath1427.05031arXiv1309.5693OpenAlexW2964078722MaRDI QIDQ2990001

Bao-Xuan Zhu

Publication date: 9 June 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5693

zbMATH Keywords

monotonicitylog-convexitylog-concavitycompletely monotonic functionsinfinite log-monotonicity

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Combinatorial inequalities (05A20)

Cites Work

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• Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays
• Infinitely log-monotonic combinatorial sequences
• Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences
• Log-concavity and LC-positivity
• Catalan numbers, their generalization, and their uses
• On a unimodal sequence of binomial coefficients
• On the log-convexity of combinatorial sequences
• Zeta Functions and the Log Behaviour of Combinatorial Sequences
• On some inequalities for the gamma and psi functions

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