The asymptotic log-convexity of Apéry-like numbers

DOI10.1080/10236198.2023.2255308zbMath1528.05005OpenAlexW4386469185MaRDI QIDQ6082679

Yanni Pei, Jianxi Mao

Publication date: 30 October 2023

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

Full work available at URL: https://doi.org/10.1080/10236198.2023.2255308

zbMATH Keywords

asymptotic expansionlog-convex sequenceApéry-like numberthree-term recursion

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Recurrences (11B37) Oscillation theory for difference equations (39A21) Numerical methods for difference and functional equations, recurrence relations (65Q99)

Cites Work

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• Divisibility properties of sporadic Apéry-like numbers
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• Asymptotic expansions for second-order linear difference equations
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• Log-balanced combinatorial sequences
• Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs
• The 2-log-convexity of the Apéry Numbers
• APÉRY-LIKE NUMBERS ARISING FROM SPECIAL VALUES OF SPECTRAL ZETA FUNCTIONS FOR NON-COMMUTATIVE HARMONIC OSCILLATORS
• Super congruences for two Apéry-like sequences
• Congruences for Apéry numbers βn =∑k=0nn k2n+k k
• Positivity problem of three-term recurrence sequences

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