{"title":"Sums of r-Lah numbers and r-Lah polynomials","authors":"Gábor Nyul, G. Rácz","doi":"10.26493/1855-3974.1793.C4D","DOIUrl":null,"url":null,"abstract":"The total number of partitions of a finite set into nonempty ordered subsets such that r distinguished elements belong to distinct ordered blocks can be described as sums of r -Lah numbers. In this paper we study this possible variant of Bell-like numbers, as well as the related r -Lah polynomials.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":"18 1","pages":"211-222"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Math. Contemp.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/1855-3974.1793.C4D","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
The total number of partitions of a finite set into nonempty ordered subsets such that r distinguished elements belong to distinct ordered blocks can be described as sums of r -Lah numbers. In this paper we study this possible variant of Bell-like numbers, as well as the related r -Lah polynomials.
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