{"title":"对合函数的形式幂级数","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":"{\"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}","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}
On the formal power series of involutory functions
: 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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