On a ratio monotonicity conjecture of a new kind of numbers

DOI10.1186/s13660-018-1614-1zbMath1387.05022OpenAlexW2790872426WikidataQ49337671 ScholiaQ49337671MaRDI QIDQ680881

Brian Y. Sun

Publication date: 29 January 2018

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1614-1

zbMATH Keywords

log-convexitylog-concavityinterlacing methodratio monotonicity

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial inequalities (05A20) Recurrences (11B37)

Related Items

Trapezoidal \((p,q)\)-integral inequalities related to \(( \eta_1, \eta_2)\)-convex functions with applications, Log-behavior of two sequences related to the elliptic integrals

Cites Work

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• Sun's log-concavity conjecture on the Catalan-Larcombe-French sequence
• Proof of a conjecture of Z.-W. Sun on ratio monotonicity
• Infinitely log-monotonic combinatorial sequences
• Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences
• The method of creative telescoping
• On the log-convexity of combinatorial sequences
• Logarithmic behavior of some combinatorial sequences
• Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums
• Two new kinds of numbers and related divisibility results
• Advanced applications of the holonomic systems approach
• On monotonicity of some combinatorial sequences
• CONJECTURES INVOLVING ARITHMETICAL SEQUENCES