On the connection between Stirling numbers and Bessel numbers

David Stenlund*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
9 Downloads (Pure)

Abstract

We present new proofs for some summation identities involving Stirling numbers of both first and second kind. The two main identities show a connection between Stirling numbers and Bessel numbers. Our method is based on solving a particular recurrence relation in two different ways and comparing the coefficients in the resulting polynomial expressions. We also briefly discuss a probabilistic setting where this recurrence relation occurs.

Original languageEnglish
Article numberP1.40
JournalElectronic Journal of Combinatorics
Volume29
Issue number1
DOIs
Publication statusPublished - 2022
MoE publication typeA1 Journal article-refereed

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