Log-behavior of two sequences related to the elliptic integrals

DOI10.1007/s10255-020-0952-1zbMath1485.11063arXiv1602.04359OpenAlexW3081926511MaRDI QIDQ2023730

James J. Y. Zhao, Brian Y. Sun

Publication date: 3 May 2021

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04359

zbMATH Keywords

Catalan-Larcombe-French sequenceFennessey-Larcombe-French sequencelog-concaveApéry numberslog-convexthree-term recurrence

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Special sequences and polynomials (11B83)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• A criterion for the log-convexity of combinatorial sequences
• Log-concavity of the Fennessey-Larcombe-French sequence
• On a ratio monotonicity conjecture of a new kind of numbers
• Log-convex and Stieltjes moment sequences
• Two-log-convexity of the Catalan-Larcombe-French sequence
• Asymptotic \(r\)-log-convexity and P-recursive sequences
• Log-concavity and related properties of the cycle index polynomials
• Log-balanced combinatorial sequences
• The 2-log-convexity of the Apéry Numbers
• CONJECTURES INVOLVING ARITHMETICAL SEQUENCES
• THE LOG-BEHAVIOR OF THE CATALAN–LARCOMBE–FRENCH SEQUENCE
• Supercongruences for the Catalan-Larcombe-French numbers

This page was built for publication: Log-behavior of two sequences related to the elliptic integrals