Explicit expressions and integral representations for the Stirling numbers. A probabilistic approach
José A. Adell, Alberto Lekuona
Advances in Difference Equations · 2019
doi:10.1186/s13662-019-2337-4 (opens in a new tab)
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Abstract
We show that the Stirling numbers of the first and second kind can be represented in terms of moments of appropriate random variables. This allows us to obtain, in a unified way, a variety of old and new explicit expressions and integral representations of such numbers.
Abstract licence: CC BY
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