{"title":"On the formal power series of involutory functions","authors":"Alfred Schreiber","doi":"10.54550/eca2024v4s2r10","DOIUrl":null,"url":null,"abstract":": It is shown that the coefficients of any involutory function f represented as a power series can be expressed in terms of multivariable Lah polynomials. This result is based on the fact that any such f ( (cid:54) = identity) can be regarded as a (compositional) conjugate of negative identity. Moreover, a constructive proof of this statement is given","PeriodicalId":340033,"journal":{"name":"Enumerative Combinatorics and Applications","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Enumerative Combinatorics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54550/eca2024v4s2r10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
: It is shown that the coefficients of any involutory function f represented as a power series can be expressed in terms of multivariable Lah polynomials. This result is based on the fact that any such f ( (cid:54) = identity) can be regarded as a (compositional) conjugate of negative identity. Moreover, a constructive proof of this statement is given
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