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arXiv:2007.11557 [math.CO]AbstractReferencesReviewsResources

Some observations on the connection between Stirling numbers and Bessel numbers

David Stenlund

Published 2020-07-22Version 1

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.

Comments: 10 pages
Categories: math.CO
Subjects: 11B73, 11B83, 05A19, 60J60
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