{"title":"A new combinatorial identity for Bernoulli numbers and its application in Ramanujan’s expansion of harmonic numbers","authors":"Conglei Xu, Dechao Li","doi":"10.2298/fil2306733x","DOIUrl":null,"url":null,"abstract":"We establish a new combinatorial identity related to the well-known Bernoulli numbers, which generalizes the result due to Feng and Wang. By means of the identity, we find a recursive formula for successively determining the coefficients of Ramanujan?s asymptotic expansion for the generalized harmonic numbers","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"39 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2306733x","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We establish a new combinatorial identity related to the well-known Bernoulli numbers, which generalizes the result due to Feng and Wang. By means of the identity, we find a recursive formula for successively determining the coefficients of Ramanujan?s asymptotic expansion for the generalized harmonic numbers
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