Infinitely log-monotonic combinatorial sequences

DOI10.1016/j.aam.2013.08.003zbMath1281.05019arXiv1304.5160OpenAlexW3098454461MaRDI QIDQ395243

William Y. C. Chen, Jeremy J. F. Guo, Larry X. W. Wang

Publication date: 29 January 2014

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

Full work available at URL: https://arxiv.org/abs/1304.5160

zbMATH Keywords

Riemann zeta functionfunctionlogarithmically completely monotonicinfinitely log-monotonic sequenceration log-concave

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Combinatorial inequalities (05A20) Zeta and (L)-functions: analytic theory (11M99)

Related Items (14)

Sun's log-concavity conjecture on the Catalan-Larcombe-French sequence ⋮ Proof of a conjecture of Z.-W. Sun on ratio monotonicity ⋮ Finite difference of the overpartition function ⋮ Laguerre inequalities for discrete sequences ⋮ Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang ⋮ Inequalities associated with the Baxter numbers ⋮ Two-log-convexity of the Catalan-Larcombe-French sequence ⋮ The Monotonicity and Log-Behaviour of Some Functions Related to the Euler Gamma Function ⋮ Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences ⋮ On a ratio monotonicity conjecture of a new kind of numbers ⋮ The log-behavior of \(\root n \of {p(n)}\) and \(\root n \of {p(n)/n}\) ⋮ Log-behavior of two sequences related to the elliptic integrals ⋮ Unnamed Item ⋮ Higher order Turán inequalities for combinatorial sequences

Cites Work

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• CONJECTURES INVOLVING ARITHMETICAL SEQUENCES
• The enumeration of tree-like polyhexes
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• Mean-value inequalities for the polygamma functions
• A survey of the Fine numbers

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