{"title":"The asymptotic log-convexity of Apéry-like numbers","authors":"Jianxi Mao, Yanni Pei","doi":"10.1080/10236198.2023.2255308","DOIUrl":null,"url":null,"abstract":"We present sufficient conditions for the asymptotic log-convexity of Apéry-like numbers which satisfy three-term recursions. Our techniques are based on the famous Birkhoff–Adams theorem.","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":"106 1","pages":"799 - 813"},"PeriodicalIF":1.1000,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Difference Equations and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10236198.2023.2255308","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We present sufficient conditions for the asymptotic log-convexity of Apéry-like numbers which satisfy three-term recursions. Our techniques are based on the famous Birkhoff–Adams theorem.
期刊介绍:
Journal of Difference Equations and Applications presents state-of-the-art papers on difference equations and discrete dynamical systems and the academic, pure and applied problems in which they arise. The Journal is composed of original research, expository and review articles, and papers that present novel concepts in application and techniques.
The scope of the Journal includes all areas in mathematics that contain significant theory or applications in difference equations or discrete dynamical systems.