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.
|Journal||Electronic Journal of Combinatorics|
|Publication status||Published - 2022|
|MoE publication type||A1 Journal article-refereed|