USING PROBABILISTIC MODELS TO STUDY THE ASYMPTOTIC BEHAVIOR OF BELL NUMBERS

摘要

The use of probabilistic models is often useful for proving combinatorial identities and for studying the properties of special numbers and functions. The proof in this case becomes more simple, intuitive and natural compared to traditional combinatorial and algebraic-analytical methods. In this article we demonstrate the advantages of a probabilistic approach for studying the asymptotic behavior of Bell number.