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arXiv · 2007.11557

Some observations on the connection between Stirling numbers and Bessel numbers

David Stenlund
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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.

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David Stenlund. 2020-07-22. Some observations on the connection between Stirling numbers and Bessel numbers. https://doi.org/10.37236/9843

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