r-Lah数和r-Lah多项式的和

Ars Math. Contemp. Pub Date : 2020-10-19 DOI:10.26493/1855-3974.1793.C4D

Gábor Nyul, G. Rácz

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引用次数: 10

摘要

一个有限集被划分为非空有序子集的总数，使得r个不同的元素属于不同的有序块，可以用r -Lah数的和来描述。本文研究了类贝尔数的这种可能的变型，以及相关的r -Lah多项式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sums of r-Lah numbers and r-Lah polynomials

The total number of partitions of a finite set into nonempty ordered subsets such that r distinguished elements belong to distinct ordered blocks can be described as sums of r -Lah numbers. In this paper we study this possible variant of Bell-like numbers, as well as the related r -Lah polynomials.

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Ars Math. Contemp.

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