(l,r)-Stirling数:一种组合方法

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2308587b

H. Belbachir, Yahia Djemmada

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引用次数: 0

摘要

本文利用排列和分区的l元组(l,r)-Stirling数对r-Stirling数进行了新的推广。我们用组合解释和对称函数研究了这些数的各种性质。同时，我们利用第一类的(l,r)-Stirling给出了多重zeta函数的极限表示。

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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The (l,r)-Stirling numbers: A combinatorial approach

This work deals with a new generalization of r-Stirling numbers using l-tuple of permutations and partitions called (l,r)-Stirling numbers of both kinds. We study various properties of these numbers using combinatorial interpretations and symmetric functions. Also, we give a limit representation of the multiple zeta function using (l,r)-Stirling of the first kind.

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