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 language | English |
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Article number | P1.40 |
Journal | Electronic Journal of Combinatorics |
Volume | 29 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2022 |
MoE publication type | A1 Journal article-refereed |