{"title":"贝尔多项式、中心阶乘数和中心贝尔多项式之间的关系","authors":"Feng Qi (祁锋), Bai-Ni Guo (郭白妮)","doi":"10.36753/MATHENOT.566448","DOIUrl":null,"url":null,"abstract":"In the note, by virtue of the Fa\\`a di Bruno formula and two identities for the Bell polynomials of the second kind, the authors derive three relations among the Bell polynomials, central factorial numbers of the second kind, and central Bell polynomials.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Relations among Bell polynomials, central factorial numbers, and central Bell polynomials\",\"authors\":\"Feng Qi (祁锋), Bai-Ni Guo (郭白妮)\",\"doi\":\"10.36753/MATHENOT.566448\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the note, by virtue of the Fa\\\\`a di Bruno formula and two identities for the Bell polynomials of the second kind, the authors derive three relations among the Bell polynomials, central factorial numbers of the second kind, and central Bell polynomials.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/MATHENOT.566448\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/MATHENOT.566448","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
摘要
本文利用Fa\ a di Bruno公式和第二类贝尔多项式的两个恒等式,导出了贝尔多项式、第二类中心阶乘数和中心贝尔多项式之间的三种关系。
Relations among Bell polynomials, central factorial numbers, and central Bell polynomials
In the note, by virtue of the Fa\`a di Bruno formula and two identities for the Bell polynomials of the second kind, the authors derive three relations among the Bell polynomials, central factorial numbers of the second kind, and central Bell polynomials.