文章基本信息

标题：Complete and incomplete Bell polynomials associated with Lah–Bell numbers and polynomials
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作者：Taekyun Kim ; Dae San Kim ; Lee-Chae Jang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03258-3
出版社：Hindawi Publishing Corporation
摘要：The nth r-extended Lah–Bell number is defined as the number of ways a set with $n r$ elements can be partitioned into ordered blocks such that r distinguished elements have to be in distinct ordered blocks. The aim of this paper is to introduce incomplete r-extended Lah–Bell polynomials and complete r-extended Lah–Bell polynomials respectively as multivariate versions of r-Lah numbers and the r-extended Lah–Bell numbers and to investigate some properties and identities for these polynomials. From these investigations we obtain some expressions for the r-Lah numbers and the r-extended Lah–Bell numbers as finite sums.
关键词：11B73 ; 11B83 ; 05A19