{"title":"Some results on degenerate Fubini and degenerate bell polynomials","authors":"Taekyun Kim, Dae San Kim","doi":"10.2298/aadm200310035k","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to further study some properties and identities on\n the degenerate Fubini and the degenerate Bell polynomials which are\n degenerate versions of the Fubini and the Bell polynomials, respectively.\n Especially, we find several expressions for the generating function of the\n sum of the values of the generalized falling factorials at positive\n consecutive integers.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis and Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/aadm200310035k","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
The aim of this paper is to further study some properties and identities on
the degenerate Fubini and the degenerate Bell polynomials which are
degenerate versions of the Fubini and the Bell polynomials, respectively.
Especially, we find several expressions for the generating function of the
sum of the values of the generalized falling factorials at positive
consecutive integers.
期刊介绍：
Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).
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