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arXiv · 2206.10194

Degenerate r-associated Stirling numbers

Taekyun Kim·Dae San Kim
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Abstract

For any positive integer r, the r-associated Stirling number of the second kind enumerates the number of partitions of the set{1,2,3,...,n} into k non-empty disjoint subsets such that each subset contains at least r elements. We introduce the degenerate r-associated Stirling numbers of the second kind and of the first kind. They are degenerate versions of the r-associated Stirling numbers of the second kind and of the first kind, and reduce to the degenerate Stirling numbers of the second kind and of the first kind for r=1. The aim of this paper is to derive recurrence relations for both of those numbers.

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Taekyun Kim, Dae San Kim. 2022-06-21. Degenerate r-associated Stirling numbers. https://arxiv.org/abs/2206.10194

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