The asymptotic log-convexity of Apéry-like numbers

作者：Mao, Jianxi; Pei, Yanni^*

来源：JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2023, 29(8): 799-813.

DOI：10.1080/10236198.2023.2255308

• Apery-like number
• log-convex sequence
• asymptotic expansion
• three-term recursion

We present sufficient conditions for the asymptotic log-convexity of Apery-like numbers which satisfy three-term recursions. Our techniques are based on the famous Birkhoff-Adams theorem.