Geodesic
On the connection between Stirling numbers and Bessel numbers
David Stenlund1
1Åbo Akademi University
The electronic journal of combinatorics, Tome 29 (2022) no. 1
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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.
DOI : 10.37236/9843
Classification : 11B73, 11B83, 05A19, 60J60
Mots-clés : Stirling numbers, Bessel numbers, Bessel polynomials

David Stenlund  1

1 Åbo Akademi University 
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David Stenlund. On the connection between Stirling numbers and Bessel numbers. The electronic journal of combinatorics, Tome 29 (2022) no. 1. doi: 10.37236/9843

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